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If x2+x+1=0x^2+x+1=0x2+x+1=0, then ∑r=125(xr+1xr)2\displaystyle \sum_{r=1}^{25} \left( x^r+\frac{1}{x^r} \right)^2 r=1∑25(xr+xr1)2 is equal to :
ω\omegaω is non-real cube root of unity.
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