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		<id>https://minidemo.mathonline.se/index.php?action=history&amp;feed=atom&amp;title=1.4_L%C3%B6sning_2d</id>
		<title>1.4 Lösning 2d - Versionshistorik</title>
		<link rel="self" type="application/atom+xml" href="https://minidemo.mathonline.se/index.php?action=history&amp;feed=atom&amp;title=1.4_L%C3%B6sning_2d"/>
		<link rel="alternate" type="text/html" href="https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_2d&amp;action=history"/>
		<updated>2026-06-22T01:34:51Z</updated>
		<subtitle>Versionshistorik för denna sida på wikin</subtitle>
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	<entry>
		<id>https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_2d&amp;diff=11939&amp;oldid=prev</id>
		<title>Taifun den 2 augusti 2014 kl. 20.05</title>
		<link rel="alternate" type="text/html" href="https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_2d&amp;diff=11939&amp;oldid=prev"/>
				<updated>2014-08-02T20:05:51Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Versionen från 2 augusti 2014 kl. 20.05&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; f(-1) = &amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&amp;lt;math&amp;gt; {(-1)^3\,-\,(-1)^2\,-\,(-1)\,-\,1 \over (-1)^3\,+\,(-1)^2\,+\,(-1)\,+\,1} = {(-1)\,-\,1\,+\,1\,-\,1 \over (-1)\,+\,1\,-\,1\,+\,1} = {-2 \over 0}&amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; f(-1) = &amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&amp;lt;math&amp;gt; {(-1)^3\,-\,(-1)^2\,-\,(-1)\,-\,1 \over (-1)^3\,+\,(-1)^2\,+\,(-1)\,+\,1} &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&amp;gt; &amp;lt;math&amp;gt; &lt;/ins&gt;= &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&amp;lt;math&amp;gt; &lt;/ins&gt;{(-1)\,-\,1\,+\,1\,-\,1 \over (-1)\,+\,1\,-\,1\,+\,1} &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&amp;gt; &amp;lt;math&amp;gt; &lt;/ins&gt;= &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&amp;lt;math&amp;gt; &lt;/ins&gt;{-2 \over 0} &amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; f(-1)\, &amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;är inte definierad.&amp;lt;/big&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; f(-1)\, &amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;är inte definierad.&amp;lt;/big&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

	<entry>
		<id>https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_2d&amp;diff=11938&amp;oldid=prev</id>
		<title>Taifun den 2 augusti 2014 kl. 20.03</title>
		<link rel="alternate" type="text/html" href="https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_2d&amp;diff=11938&amp;oldid=prev"/>
				<updated>2014-08-02T20:03:26Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Versionen från 2 augusti 2014 kl. 20.03&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; f(z) = {z^3 - z^2 - z - 1 \over z^3 + z^2 + z + 1} &amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;f(z) = &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&amp;lt;math&amp;gt; &lt;/ins&gt;{z^3 - z^2 - z - 1 \over z^3 + z^2 + z + 1} &amp;lt;/math&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&lt;/ins&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; f(-1) = {(-1)^3 - (-1)^2 - (-1) - 1 \over (-1)^3 + (-1)^2 + (-1) + 1} = {(-1) - 1 + 1 - 1 \over (-1) + 1 - 1 + 1} = {-2 \over 0}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; f(-1) = &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&amp;lt;math&amp;gt; &lt;/ins&gt;{(-1)^3&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;(-1)^2&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;(-1)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1 \over (-1)^3&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;+&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;(-1)^2&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;+&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;(-1)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;+&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1} = {(-1)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;+&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1 \over (-1)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;+&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;+&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1} = {-2 \over 0}&amp;lt;/math&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&lt;/ins&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; f(-1)\, &amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;är inte &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;definierat&lt;/del&gt;.&amp;lt;/big&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; f(-1)\, &amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;är inte &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;definierad&lt;/ins&gt;.&amp;lt;/big&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

	<entry>
		<id>https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_2d&amp;diff=2714&amp;oldid=prev</id>
		<title>Taifun: Created page with &quot;&lt;math&gt; f(z) = {z^3 - z^2 - z - 1 \over z^3 + z^2 + z + 1} &lt;/math&gt;   &lt;math&gt; f(-1) = {(-1)^3 - (-1)^2 - (-1) - 1 \over (-1)^3 + (-1)^2 + (-1) + 1} = {(-1) - 1 + 1 - 1 \over (-1) + ...&quot;</title>
		<link rel="alternate" type="text/html" href="https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_2d&amp;diff=2714&amp;oldid=prev"/>
				<updated>2011-03-05T12:03:20Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;math&amp;gt; f(z) = {z^3 - z^2 - z - 1 \over z^3 + z^2 + z + 1} &amp;lt;/math&amp;gt;   &amp;lt;math&amp;gt; f(-1) = {(-1)^3 - (-1)^2 - (-1) - 1 \over (-1)^3 + (-1)^2 + (-1) + 1} = {(-1) - 1 + 1 - 1 \over (-1) + ...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Ny sida&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;math&amp;gt; f(z) = {z^3 - z^2 - z - 1 \over z^3 + z^2 + z + 1} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; f(-1) = {(-1)^3 - (-1)^2 - (-1) - 1 \over (-1)^3 + (-1)^2 + (-1) + 1} = {(-1) - 1 + 1 - 1 \over (-1) + 1 - 1 + 1} = {-2 \over 0}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; f(-1)\, &amp;lt;/math&amp;gt; &amp;lt;big&amp;gt;är inte definierat.&amp;lt;/big&amp;gt;&lt;/div&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

	</feed>