Given that X5 + X4 + X3 + x2 + X + 1 = 0, find the value of x2013
x^5+x^4+x^3+x^2+x+1=0
x^4(x+1)+x²(x+1)+(x+1)=0
(x+1)(x^4+x²+1)=0
∴x+1=0
x=-1
∴x^2013=(-1)^2013=-1
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