复数x满足x+1/x=-1,则x^(2013)+1/x^(2013)=

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复数x满足x+1/x=-1,则x^(2013)+1/x^(2013)=
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复数x满足x+1/x=-1,则x^(2013)+1/x^(2013)=
复数x满足x+1/x=-1,则x^(2013)+1/x^(2013)=

复数x满足x+1/x=-1,则x^(2013)+1/x^(2013)=
x+1/x=-1,则x^2+x+1=0,所以(x-1)(x^2+x+1)=x^3-1=0,x^3=1.
2013能够被3整除,所以x^2013=1,所以x^(2013)+1/x^(2013)=1+1=2.