https://mathonline.se/index.php?action=history&feed=atom&title=3.6_%C3%96vningar_till_Anv%C3%A4ndning_av_andragradsekvationer 2026-06-28T03:57:39Z Versionshistorik för denna sida på wikin MediaWiki 1.23.1 https://mathonline.se/index.php?title=3.6_%C3%96vningar_till_Anv%C3%A4ndning_av_andragradsekvationer&diff=14193&oldid=prev 2024-05-15T12:28:12Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 15 maj 2024 kl. 12.28</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 83:</td> <td colspan="2" class="diff-lineno">Rad 83:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Matte:Copyrights|Copyright]] © <del class="diffchange diffchange-inline">2022 [https://www.techpages.se </del>&lt;b&gt;&lt;span style=&quot;color:blue&quot;&gt;<del class="diffchange diffchange-inline">TechPages </del>AB&lt;/span&gt;&lt;/b&gt;<del class="diffchange diffchange-inline">]</del>. All Rights Reserved.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Matte:Copyrights|Copyright]] © <ins class="diffchange diffchange-inline">2024 </ins>&lt;b&gt;&lt;span style=&quot;color:blue&quot;&gt;<ins class="diffchange diffchange-inline">Lieta </ins>AB&lt;/span&gt;&lt;/b&gt;. All Rights Reserved.</div></td></tr> </table>

Taifun https://mathonline.se/index.php?title=3.6_%C3%96vningar_till_Anv%C3%A4ndning_av_andragradsekvationer&diff=14181&oldid=prev 2024-05-14T09:55:00Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 14 maj 2024 kl. 09.55</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 38:</td> <td colspan="2" class="diff-lineno">Rad 38:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;<del class="diffchange diffchange-inline">ovnC</del>&quot;&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;<ins class="diffchange diffchange-inline">ovnA</ins>&quot;&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;big&gt;&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;p-q formeln för 2:a gradsekvationer i normalform:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/b&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;big&gt;&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;p-q formeln för 2:a gradsekvationer i normalform:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/b&gt;</div></td></tr> </table>

Taifun https://mathonline.se/index.php?title=3.6_%C3%96vningar_till_Anv%C3%A4ndning_av_andragradsekvationer&diff=14180&oldid=prev 2024-05-14T09:53:50Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 14 maj 2024 kl. 09.53</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 10:</td> <td colspan="2" class="diff-lineno">Rad 10:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;<del class="diffchange diffchange-inline">ovnE</del>&quot;&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&lt;big&gt;&lt;big&gt;</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">&lt;big&gt;</del>&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;<del class="diffchange diffchange-inline">Gör övningarna </del>i boken:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/<del class="diffchange diffchange-inline">span</del>&gt;&lt;/<del class="diffchange diffchange-inline">b</del>&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;<ins class="diffchange diffchange-inline">ovnC</ins>&quot;&gt;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&amp;nbsp;</ins>&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;<ins class="diffchange diffchange-inline">Läs de lösta exemplen </ins>i boken:<ins class="diffchange diffchange-inline">&lt;/span&gt;&lt;/b&gt;</ins>&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">----</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Sid 76</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">----</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Försök att lösa exemplen utan bokens&lt;br&gt;lösningar.</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;/<ins class="diffchange diffchange-inline">div</ins>&gt;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;/<ins class="diffchange diffchange-inline">big&gt;&lt;/big</ins>&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;sid 77, övn. 2152-2161.</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;<del class="diffchange diffchange-inline">sid 79 Historik, övn. 1</del>-<del class="diffchange diffchange-inline">6.</del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&lt;big&gt;&lt;big&gt;</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">&lt;/big&gt;</del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&lt;div class=&quot;ovnE&quot;&gt;</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&amp;nbsp;<ins class="diffchange diffchange-inline">&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;</ins>&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;<ins class="diffchange diffchange-inline">Gör övningarna i boken:&lt;/span&gt;&lt;/b&gt;</ins>&amp;nbsp;<ins class="diffchange diffchange-inline">&amp;nbsp;&amp;nbsp;&amp;nbsp;</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">---</ins>-</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Sid 77</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">----</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Kolla dina resultat i bokens facit.</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;/big&gt;&lt;/big&gt;</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> </table>

Taifun https://mathonline.se/index.php?title=3.6_%C3%96vningar_till_Anv%C3%A4ndning_av_andragradsekvationer&diff=14179&oldid=prev 2024-05-14T09:46:37Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 14 maj 2024 kl. 09.46</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 2:</td> <td colspan="2" class="diff-lineno">Rad 2:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.5 Allmänna lösningsmetoder för 2:a gradsekvationer<del class="diffchange diffchange-inline">: p-q formeln och Vieta</del>| &lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.5 Allmänna lösningsmetoder för 2:a gradsekvationer| &lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.6 Användning av andragradsekvationer|Genomgång]]}}</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.6 Användning av andragradsekvationer|Genomgång]]}}</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Selected tab|[[3.6 Övningar till Användning av andragradsekvationer|Övningar]]}}</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Selected tab|[[3.6 Övningar till Användning av andragradsekvationer|Övningar]]}}</div></td></tr> </table>

Taifun https://mathonline.se/index.php?title=3.6_%C3%96vningar_till_Anv%C3%A4ndning_av_andragradsekvationer&diff=1253&oldid=prev 2022-03-19T18:46:44Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 19 mars 2022 kl. 18.46</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 13:</td> <td colspan="2" class="diff-lineno">Rad 13:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;big&gt;&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Gör övningarna i boken:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/b&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;big&gt;&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Gör övningarna i boken:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/b&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;sid <del class="diffchange diffchange-inline">53</del>, övn. <del class="diffchange diffchange-inline">2207</del>.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;sid <ins class="diffchange diffchange-inline">77</ins>, övn. <ins class="diffchange diffchange-inline">2152-2161</ins>.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;sid <del class="diffchange diffchange-inline">54</del>, övn. <del class="diffchange diffchange-inline">2210</del>-<del class="diffchange diffchange-inline">2212</del>.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;sid <ins class="diffchange diffchange-inline">79 Historik</ins>, övn. <ins class="diffchange diffchange-inline">1</ins>-<ins class="diffchange diffchange-inline">6</ins>.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/big&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/big&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> </table>

Taifun https://mathonline.se/index.php?title=3.6_%C3%96vningar_till_Anv%C3%A4ndning_av_andragradsekvationer&diff=1252&oldid=prev 2022-03-19T18:44:10Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 19 mars 2022 kl. 18.44</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 2:</td> <td colspan="2" class="diff-lineno">Rad 2:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<del class="diffchange diffchange-inline">6 Komplexa tal</del>| &lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<ins class="diffchange diffchange-inline">5 Allmänna lösningsmetoder för 2:a gradsekvationer: p-q formeln och Vieta</ins>| &lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<del class="diffchange diffchange-inline">7 </del>Användning av andragradsekvationer|Genomgång]]}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<ins class="diffchange diffchange-inline">6 </ins>Användning av andragradsekvationer|Genomgång]]}}</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Selected tab|[[3.<del class="diffchange diffchange-inline">7 </del>Övningar till Användning av andragradsekvationer|Övningar]]}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Selected tab|[[3.<ins class="diffchange diffchange-inline">6 </ins>Övningar till Användning av andragradsekvationer|Övningar]]}}</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<del class="diffchange diffchange-inline">8 </del>Andragradsfunktioner|Nästa avsnitt&amp;nbsp;&amp;nbsp;&gt;&gt; ]]}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<ins class="diffchange diffchange-inline">7 </ins>Andragradsfunktioner|Nästa avsnitt&amp;nbsp;&amp;nbsp;&gt;&gt; ]]}}</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot;&#160; width=&quot;100%&quot;| &amp;nbsp;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot;&#160; width=&quot;100%&quot;| &amp;nbsp;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>|}</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>|}</div></td></tr> </table>

Taifun https://mathonline.se/index.php?title=3.6_%C3%96vningar_till_Anv%C3%A4ndning_av_andragradsekvationer&diff=1251&oldid=prev 2022-03-19T18:42:12Z

<p>Skapade sidan med &#039;__NOTOC__ {| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot; | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; |   {{Not selected tab|3.6 Komple...&#039;</p> <p><b>Ny sida</b></p><div>__NOTOC__<br /> {| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot;<br /> | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;<br /> {{Not selected tab|[[3.6 Komplexa tal| &lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}<br /> {{Not selected tab|[[3.7 Användning av andragradsekvationer|Genomgång]]}}<br /> {{Selected tab|[[3.7 Övningar till Användning av andragradsekvationer|Övningar]]}}<br /> {{Not selected tab|[[3.8 Andragradsfunktioner|Nästa avsnitt&amp;nbsp;&amp;nbsp;&gt;&gt; ]]}}<br /> | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;100%&quot;| &amp;nbsp;<br /> |}<br /> <br /> <br /> &lt;div class=&quot;ovnE&quot;&gt;<br /> &lt;big&gt;&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Gör övningarna i boken:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/b&gt;<br /> <br /> &amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;sid 53, övn. 2207.<br /> <br /> &amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;sid 54, övn. 2210-2212.<br /> &lt;/big&gt;<br /> &lt;/div&gt;<br /> <br /> <br /> &lt;big&gt;Ställ upp först en andragradsekvation i uppgifterna ovan.<br /> <br /> Skriv om den sedan till normalform och lös den med p-q formeln.<br /> &lt;/big&gt;<br /> <br /> <br /> &lt;div class=&quot;ovnC&quot;&gt;<br /> <br /> &lt;big&gt;&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;p-q formeln för 2:a gradsekvationer i normalform:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/b&gt;<br /> <br /> &lt;math&gt; \qquad\qquad\;\; \displaystyle x_{1,2}=-\frac{p}{2}\pm\sqrt{\bigg(\frac{p}{2}\bigg)^2-q}&lt;/math&gt;<br /> <br /> &lt;/big&gt;<br /> &lt;/div&gt;<br /> <br /> <br /> &lt;div class=&quot;border-divblue&quot;&gt;<br /> &lt;big&gt;&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Omskrivning av 2:a gradsekvationer till normalform:&lt;/span&gt;&lt;/b&gt;<br /> <br /> ----<br /> <br /> &lt;math&gt; \qquad\qquad\;\;\; \color{Red} {x^2 \, + \, p\,x \, + \, q \; = \; 0} &lt;/math&gt;<br /> <br /> ---- <br /> <br /> &lt;math&gt; \begin{array}{rrlcr} &amp; {\rm Ex.:}\quad\; 3\,x^2 - 6\,x - 9 &amp; = \;\;\; 0 &amp; \qquad | &amp; / \,\, 3 \\<br /> &amp; \quad\; \color{Red} {x^2 - 2\,x - 3} &amp; \color{Red} {= \;\;\; 0} <br /> \end{array}&lt;/math&gt;<br /> &lt;/big&gt;<br /> &lt;/div&gt;<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> [[Matte:Copyrights|Copyright]] © 2022 [https://www.techpages.se &lt;b&gt;&lt;span style=&quot;color:blue&quot;&gt;TechPages AB&lt;/span&gt;&lt;/b&gt;]. All Rights Reserved.</div>

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