http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?action=history&feed=atom&title=L%C3%B6sning_1.8.1a
Lösning 1.8.1a - Versionshistorik
2026-05-17T00:38:58Z
Versionshistorik för denna sida på wikin
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http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?title=L%C3%B6sning_1.8.1a&diff=752&oldid=prev
Samuel den 20 juni 2012 kl. 12.56
2012-06-20T12:56:05Z
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<td colspan='2' style="background-color: white; color:black;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black;">Versionen från 20 juni 2012 kl. 12.56</td>
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<tr><td colspan="2" class="diff-lineno">Rad 1:</td>
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<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>\<del style="color: red; font-weight: bold; text-decoration: none;">displaystyle </del>(1+2i)\left( 2-\frac{i}{4} \right) = 1\<del style="color: red; font-weight: bold; text-decoration: none;">cdot 2 </del>- 1 \cdot \frac{i}{4}+2i\<del style="color: red; font-weight: bold; text-decoration: none;">cdot 2</del>- 2i\cdot \frac{i}{4}=<del style="color: red; font-weight: bold; text-decoration: none;"></math></del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>\<ins style="color: red; font-weight: bold; text-decoration: none;">begin{align}</ins>(1+2i)\left(2-\frac{i}{4}\right)<ins style="color: red; font-weight: bold; text-decoration: none;">&</ins>=1\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot2</ins>-1\cdot\frac{i}{4}+2i\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot2</ins>-2i\cdot\frac{i}{4}=\<ins style="color: red; font-weight: bold; text-decoration: none;">\&</ins>= 2-\frac{i}{4}+4i+\frac{1}{2}<ins style="color: red; font-weight: bold; text-decoration: none;">=\\&</ins>=\frac{5}{2}+\frac{<ins style="color: red; font-weight: bold; text-decoration: none;">15i</ins>}{4<ins style="color: red; font-weight: bold; text-decoration: none;">}\end{align</ins>}</math></div></td></tr>
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<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"><math></del>\<del style="color: red; font-weight: bold; text-decoration: none;">displaystyle </del>= 2-\frac{i}{4}+4i+\frac{1}{2} = \frac{5}{2} + \frac{<del style="color: red; font-weight: bold; text-decoration: none;">15 i</del>} {4}</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr>
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Samuel
http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?title=L%C3%B6sning_1.8.1a&diff=513&oldid=prev
Sass den 12 juni 2012 kl. 14.06
2012-06-12T14:06:34Z
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<td colspan='2' style="background-color: white; color:black;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black;">Versionen från 12 juni 2012 kl. 14.06</td>
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<tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>\displaystyle <del style="color: red; font-weight: bold; text-decoration: none;"> </del>(<del style="color: red; font-weight: bold; text-decoration: none;">3-</del>2i)(4<del style="color: red; font-weight: bold; text-decoration: none;">+i-(6-2i)</del>) = <del style="color: red; font-weight: bold; text-decoration: none;">(3</del>-2i<del style="color: red; font-weight: bold; text-decoration: none;">)(</del>-<del style="color: red; font-weight: bold; text-decoration: none;">2+3i)</del>=</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>\displaystyle (<ins style="color: red; font-weight: bold; text-decoration: none;">1+</ins>2i)<ins style="color: red; font-weight: bold; text-decoration: none;">\left</ins>( <ins style="color: red; font-weight: bold; text-decoration: none;">2-\frac{i}{</ins>4<ins style="color: red; font-weight: bold; text-decoration: none;">} \right</ins>) = <ins style="color: red; font-weight: bold; text-decoration: none;">1\cdot 2 </ins>- <ins style="color: red; font-weight: bold; text-decoration: none;">1 \cdot \frac{i}{4}+</ins>2i<ins style="color: red; font-weight: bold; text-decoration: none;">\cdot 2</ins>- <ins style="color: red; font-weight: bold; text-decoration: none;">2i\cdot \frac{i}{4}</ins>=</math></div></td></tr>
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<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>\displaystyle =<del style="color: red; font-weight: bold; text-decoration: none;">(3\cdot (-</del>2<del style="color: red; font-weight: bold; text-decoration: none;">) + 3 \cdot 3i </del>-<del style="color: red; font-weight: bold; text-decoration: none;">2i</del>\<del style="color: red; font-weight: bold; text-decoration: none;">cdot(-2) -2i\cdot 3i = -6 +9i </del>+ 4i +<del style="color: red; font-weight: bold; text-decoration: none;">6</del>=</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>\displaystyle = 2-\<ins style="color: red; font-weight: bold; text-decoration: none;">frac{i}{4}</ins>+4i+<ins style="color: red; font-weight: bold; text-decoration: none;">\frac{1}{2} </ins>= <ins style="color: red; font-weight: bold; text-decoration: none;">\frac{5}{2} + \frac{15 i} {4}</ins></math></div></td></tr>
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<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"><math>\displaystyle =13i</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr>
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Sass
http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?title=L%C3%B6sning_1.8.1a&diff=511&oldid=prev
Sass den 12 juni 2012 kl. 14.05
2012-06-12T14:05:41Z
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<col class='diff-marker' />
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<td colspan='2' style="background-color: white; color:black;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black;">Versionen från 12 juni 2012 kl. 14.05</td>
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<tr><td colspan="2" class="diff-lineno">Rad 3:</td>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>\displaystyle =(3\cdot (-2) + 3 \cdot 3i -2i\cdot(-2) -2i\cdot 3i = -6 +9i + 4i +6=</math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>\displaystyle =(3\cdot (-2) + 3 \cdot 3i -2i\cdot(-2) -2i\cdot 3i = -6 +9i + 4i +6=</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math><del style="color: red; font-weight: bold; text-decoration: none;">/</del>displaystyle =13i</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math><ins style="color: red; font-weight: bold; text-decoration: none;">\</ins>displaystyle =13i</div></td></tr>
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Sass
http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?title=L%C3%B6sning_1.8.1a&diff=510&oldid=prev
Sass: Ny sida: <math>\displaystyle (3-2i)(4+i-(6-2i)) = (3-2i)(-2+3i)=</math> <math>\displaystyle =(3\cdot (-2) + 3 \cdot 3i -2i\cdot(-2) -2i\cdot 3i = -6 +9i + 4i +6=</math> <math>/displaystyle =13i
2012-06-12T14:05:32Z
<p>Ny sida: <math>\displaystyle (3-2i)(4+i-(6-2i)) = (3-2i)(-2+3i)=</math> <math>\displaystyle =(3\cdot (-2) + 3 \cdot 3i -2i\cdot(-2) -2i\cdot 3i = -6 +9i + 4i +6=</math> <math>/displaystyle =13i</p>
<p><b>Ny sida</b></p><div><math>\displaystyle (3-2i)(4+i-(6-2i)) = (3-2i)(-2+3i)=</math><br />
<br />
<math>\displaystyle =(3\cdot (-2) + 3 \cdot 3i -2i\cdot(-2) -2i\cdot 3i = -6 +9i + 4i +6=</math><br />
<br />
<math>/displaystyle =13i</div>
Sass