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3.4 Lösning 3b - Versionshistorik
2026-04-25T00:58:03Z
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Taifun den 18 januari 2015 kl. 20.29
2015-01-18T20:29:27Z
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<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 18 januari 2015 kl. 20.29</td>
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<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">:</del>::<math>\begin{array}{rcl}  <del class="diffchange diffchange-inline">3</del>\,x^2 - <del class="diffchange diffchange-inline">24\,x + 45 </del>& = & 0  \\</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>::<math>\begin{array}{rcl}  <ins class="diffchange diffchange-inline">4</ins>\,x^2 - <ins class="diffchange diffchange-inline">16 </ins>& = & 0  \\</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">                                </del>x^2 <del class="diffchange diffchange-inline">-  8\,x + 15 </del>& = & <del class="diffchange diffchange-inline">0  </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">                            4\,</ins>x^2 <ins class="diffchange diffchange-inline">    </ins>& = & <ins class="diffchange diffchange-inline">16  </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">  \end{array}</math></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">                              x^2      </ins>& = & <ins class="diffchange diffchange-inline">4 </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> </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">                                    </ins>x_1 & = & <ins class="diffchange diffchange-inline">2  </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">:::<math> \begin{array}{rcl} {\rm Vieta:} \quad x_1 \cdot x_2 </del>& <del class="diffchange diffchange-inline">    </del>= <del class="diffchange diffchange-inline">  </del>& <del class="diffchange diffchange-inline">15        \\</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">                                    </ins>x_2 & = & <ins class="diffchange diffchange-inline">-2</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">                              x_1 </del>  <del class="diffchange diffchange-inline">+  x_2 &    =    & -(-8) = 8 </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">        </ins>\end{array}</math></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">                                            &\Downarrow&          \\</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></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">                                        </del>x_1 & <del class="diffchange diffchange-inline">    </del>= <del class="diffchange diffchange-inline">  </del>& <del class="diffchange diffchange-inline">3        </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></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">                                        </del>x_2 & <del class="diffchange diffchange-inline">    </del>= <del class="diffchange diffchange-inline">  </del>& <del class="diffchange diffchange-inline">5</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></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">          </del>\end{array}</math></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></div></td></tr>
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Taifun
https://minidemo.mathonline.se/index.php?title=3.4_L%C3%B6sning_3b&diff=20370&oldid=prev
Taifun: Skapade sidan med ':::<math>\begin{array}{rcl} 3\,x^2 - 24\,x + 45 & = & 0 \\ x^2 - 8\,x + 15 & = & 0 \\ \end{array}</math> :::<math> \begin{array}{rcl}...'
2015-01-18T20:25:55Z
<p>Skapade sidan med ':::<math>\begin{array}{rcl} 3\,x^2 - 24\,x + 45 & = & 0 \\ x^2 - 8\,x + 15 & = & 0 \\ \end{array}</math> :::<math> \begin{array}{rcl}...'</p>
<p><b>Ny sida</b></p><div>:::<math>\begin{array}{rcl} 3\,x^2 - 24\,x + 45 & = & 0 \\<br />
x^2 - 8\,x + 15 & = & 0 \\<br />
\end{array}</math><br />
<br />
:::<math> \begin{array}{rcl} {\rm Vieta:} \quad x_1 \cdot x_2 & = & 15 \\<br />
x_1 + x_2 & = & -(-8) = 8 \\<br />
&\Downarrow& \\<br />
x_1 & = & 3 \\<br />
x_2 & = & 5<br />
\end{array}</math></div>
Taifun