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x3(x+2)=-2x2-2x-1这个方程怎么解?
题目详情
x3(x+2)=-2x2-2x-1这个方程怎么解?
▼优质解答
答案和解析
x^4+2x^3+2x^2+2x+1=0
x^4+2x^3+x^2+x^2+2x+1=0
x^2(x+1)^2+(x+1)^2=0
(x+1)^2(x^2+1)=0
x=-1(二重根),i,-i
x^4+2x^3+x^2+x^2+2x+1=0
x^2(x+1)^2+(x+1)^2=0
(x+1)^2(x^2+1)=0
x=-1(二重根),i,-i
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