解多元复数方程求解x^9+x^6+x^3+1=0,x属于C

优质解答

x^9+x^6+x^3+1=0
(x^3+1)x^6+(x^3+1)=0
(x^3+1)(x^6+1)=0
所以 x^3+1=0或x^6+1=0 x^9+x^6+x^3+1=0
(x^3+1)x^6+(x^3+1)=0
(x^3+1)(x^6+1)=0
所以 x^3+1=0或x^6+1=0

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