作业帮x(x+2)(x+6)+20x+6=0
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/19 01:45:29
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x(x+2)(x+6)+20x+6=0
x(x+2)(x+6)+20x+6=0
x(x+2)(x+6)+20x+6=0
x(1)=(38361^(1/2)/9 + 559/27)^(1/3) - 32/(9*(38361^(1/2)/9 + 559/27)^(1/3)) - 8/3,
x(2)=16/(9*(38361^(1/2)/9 + 559/27)^(1/3)) - (38361^(1/2)/9 + 559/27)^(1/3)/2 - 8/3- 3^(1/2)*i*(16/(9*(38361^(1/2)/9 + 559/27)^(1/3)) + (38361^(1/2)/9 + 559/27)^(1/3)/2)*i ,
x(3)=16/(9*(38361^(1/2)/9 + 559/27)^(1/3)) - (38361^(1/2)/9 + 559/27)^(1/3)/2 - 8/3+ 3^(1/2)*(16/(9*(38361^(1/2)/9 + 559/27)^(1/3)) + (38361^(1/2)/9 + 559/27)^(1/3)/2)*i ,
化简一下就是
x(1)=-0.196959489589038;
x(2)=-3.90152025520548 - 3.90400522823014 i;
x(3)=-3.90152025520548+3.90400522823014 i
答案很复杂.自己验算一下哦.
x(x+2)(x+6)+20x+6=0
x/x-2+x-9/x-7=x+1/x-1+x-8/x-6,
x/x-2+x-9/x-7=x+1/x-1+x-8/x-6,
(2-x)(6-x)(12-x)(20-x)=
(x^-2x)^-5(x^-2x)-6=0
(x+2)(x-3)(x-6)(x-1)=0
6/(x-1)-(x+2)/x(x-1)=0
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