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<title> 一般方程式 </title>
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<h1>11.2.1 一般方程式</h1>
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<p>以符号数学解一般方程式和联立方程式的语法如下： </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">solve(f) </font>解符号方程式<font COLOR="#FF0000" FACE="Times New Roman">f</font>。 </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">solve(f1,</font><font COLOR="#FF0000">厎</font><font COLOR="#FF0000" FACE="Times New Roman">,fn) </font><font COLOR="#FF0000">解由</font><font COLOR="#FF0000" FACE="Times New Roman">f1,</font><font COLOR="#FF0000">厎</font><font COLOR="#FF0000" FACE="Times New Roman">,fn</font><font COLOR="#FF0000">组成的联立方程式。
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<p><font COLOR="#FF0000">我们先定义以下的方程式：</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">>>eq1 = </font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">x-3=4</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">; % </font><font COLOR="#FF0000">注意也可写成'</font><font COLOR="#FF0000" FACE="Times New Roman">eq1=x-7</font><font COLOR="#FF0000">'</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">>>eq2 = </font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">x*2-x-6=0</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">; % </font><font COLOR="#FF0000">注意也可写成'</font><font COLOR="#FF0000" FACE="Times New Roman">eq2=x*2-x-6</font><font COLOR="#FF0000">'</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">>>eq3 = </font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">x2+2*x+4=0</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">;</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">>>eq4 = </font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">3*x+2*y-z=10</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">;</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">>>eq5 = </font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">-x+3*y+2*z=5</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">;</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">>>eq6 = </font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">x-y-z=-1</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">; <br>
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<p><font COLOR="#FF0000" FACE="Times New Roman">>>solve(eq1)</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">ans=</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">7</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">>>solve(eq2)</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">ans=</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">[[3],[-2]]</font><font COLOR="#FF0000">' </font><font COLOR="#FF0000" FACE="Times New Roman">% </font><font COLOR="#FF0000">原方程式有二个根</font><font COLOR="#FF0000" FACE="Times New Roman">3, -2</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">>>solve(eq3)</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">ans=</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">[[-1+I*3^(1/2)],[-1-I*3^(1/2)]]</font><font COLOR="#FF0000">' </font><font COLOR="#FF0000" FACE="Times New Roman">% </font><font COLOR="#FF0000">注意实根和虚根的表示式</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">>>solve(eq4,eq5,eq6) % </font><font COLOR="#FF0000">解三个联立方程式</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">ans=</font> </p>
<p><font COLOR="#FF0000" FACE="Times New Roman">x = -2, y = 5, z = -6</font></p>
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