http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?action=history&feed=atom&title=Solution_2.3%3A3a 2026-04-08T12:00:21Z Revision history for this page on the wiki MediaWiki 1.11.1 http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_2.3:3a&diff=5587&oldid=prev 2008-09-29T08:27:04Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 08:27, 29 September 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>The left-hand side of the equation consists of two factors, </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>The left-hand side of the equation consists of two factors, <ins style="color: red; font-weight: bold; text-decoration: none;">''</ins>x<ins style="color: red; font-weight: bold; text-decoration: none;">'' </ins>and <ins style="color: red; font-weight: bold; text-decoration: none;">''</ins>x<ins style="color: red; font-weight: bold; text-decoration: none;">''&amp;nbsp;</ins>+<ins style="color: red; font-weight: bold; text-decoration: none;">&amp;nbsp;</ins>3. The only possibilities that their product is zero are if either <ins style="color: red; font-weight: bold; text-decoration: none;">''</ins>x<ins style="color: red; font-weight: bold; text-decoration: none;">'' </ins>or <ins style="color: red; font-weight: bold; text-decoration: none;">''</ins>x<ins style="color: red; font-weight: bold; text-decoration: none;">''&amp;nbsp;</ins>+<ins style="color: red; font-weight: bold; text-decoration: none;">&amp;nbsp;</ins>3 is zero. Hence, the equation has the solutions <ins style="color: red; font-weight: bold; text-decoration: none;">''</ins>x<ins style="color: red; font-weight: bold; text-decoration: none;">''&amp;nbsp;</ins>=<ins style="color: red; font-weight: bold; text-decoration: none;">&amp;nbsp;</ins>0 and <ins style="color: red; font-weight: bold; text-decoration: none;">''</ins>x<ins style="color: red; font-weight: bold; text-decoration: none;">''&amp;nbsp;</ins>=<ins style="color: red; font-weight: bold; text-decoration: none;">&amp;nbsp;</ins>-3.</div></td></tr> <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;">&lt;math&gt;</del>x<del style="color: red; font-weight: bold; text-decoration: none;">&lt;/math&gt;</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>and </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <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;">&lt;math&gt;</del>x+<del style="color: red; font-weight: bold; text-decoration: none;">\text{</del>3<del style="color: red; font-weight: bold; text-decoration: none;">}&lt;/math&gt;</del>. The only possibilities that their product is zero are if either </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <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;">&lt;math&gt;</del>x<del style="color: red; font-weight: bold; text-decoration: none;">&lt;/math&gt;</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>or </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <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;">&lt;math&gt;</del>x+<del style="color: red; font-weight: bold; text-decoration: none;">\text{</del>3<del style="color: red; font-weight: bold; text-decoration: none;">}&lt;/math&gt;</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>is zero. Hence , the equation has the solutions </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <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;">&lt;math&gt;</del>x=0<del style="color: red; font-weight: bold; text-decoration: none;">\text{ }&lt;/math&gt;</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>and </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <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;">&lt;math&gt;</del>x=-<del style="color: red; font-weight: bold; text-decoration: none;">\text{</del>3<del style="color: red; font-weight: bold; text-decoration: none;">}&lt;/math&gt;</del>.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> </table>

Tek http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_2.3:3a&diff=5295&oldid=prev 2008-09-20T14:49:03Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 14:49, 20 September 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <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;">{NAVCONTENT_START</del>}<del style="color: red; font-weight: bold; text-decoration: none;">}</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">The left-hand side of the equation consists of two factors, </ins></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;<del style="color: red; font-weight: bold; text-decoration: none;">center</del>&gt; <del style="color: red; font-weight: bold; text-decoration: none;">[[Image:2_3_3a</del>.<del style="color: red; font-weight: bold; text-decoration: none;">gif]] </del>&lt;/<del style="color: red; font-weight: bold; text-decoration: none;">center</del>&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt;x&lt;/math&gt;</ins></div></td></tr> <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;">NAVCONTENT_STOP</del>}}</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">and </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt;x+\text</ins>{<ins style="color: red; font-weight: bold; text-decoration: none;">3</ins>}&lt;<ins style="color: red; font-weight: bold; text-decoration: none;">/math</ins>&gt;. <ins style="color: red; font-weight: bold; text-decoration: none;">The only possibilities that their product is zero are if either </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt;x</ins>&lt;/<ins style="color: red; font-weight: bold; text-decoration: none;">math</ins>&gt;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">or </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt;x+\text</ins>{<ins style="color: red; font-weight: bold; text-decoration: none;">3}&lt;/math&gt;</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">is zero. Hence , the equation has the solutions </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt;x=0\text</ins>{ }<ins style="color: red; font-weight: bold; text-decoration: none;">&lt;/math&gt;</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">and </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt;x=-\text{3</ins>}<ins style="color: red; font-weight: bold; text-decoration: none;">&lt;/math&gt;.</ins></div></td></tr> </table>

Ian http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_2.3:3a&diff=3351&oldid=prev 2008-09-09T08:58:03Z

<p><a href="/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=L%C3%B6sning_2.3:3a&amp;action=edit" class="new" title="Lösning 2.3:3a">Lösning 2.3:3a</a> moved to <a href="/wikis/2009/bridgecourse1-ImperialCollege/index.php/Solution_2.3:3a" title="Solution 2.3:3a">Solution 2.3:3a</a>: Robot: moved page</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 08:58, 9 September 2008</td> </tr> </table>

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<p>Robot: Automated text replacement (-[[Bild: +[[Image:)</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 06:46, 21 August 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{NAVCONTENT_START}}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{NAVCONTENT_START}}</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;center&gt; [[<del style="color: red; font-weight: bold; text-decoration: none;">Bild</del>:2_3_3a.gif]] &lt;/center&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&lt;center&gt; [[<ins style="color: red; font-weight: bold; text-decoration: none;">Image</ins>:2_3_3a.gif]] &lt;/center&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{NAVCONTENT_STOP}}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{NAVCONTENT_STOP}}</div></td></tr> </table>

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<p>Ny sida: {{NAVCONTENT_START}} &lt;center&gt; <a href="/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Bild:2_3_3a.gif&amp;action=edit" class="new" title="Bild:2 3 3a.gif">Bild:2_3_3a.gif</a> &lt;/center&gt; {{NAVCONTENT_STOP}}</p> <p><b>New page</b></p><div>{{NAVCONTENT_START}}<br /> &lt;center&gt; [[Bild:2_3_3a.gif]] &lt;/center&gt;<br /> {{NAVCONTENT_STOP}}</div>

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