An algebra problem by madhav srirangan

Algebra Level 5

Let \(f(x)=x^{100}+x^{99}+\ldots+x+1\)

\(x_1,x_2,\ldots,x_{100}\) are the roots of \(f(x)=0\).

Find \( \displaystyle \sum_{i=1}^{100} \dfrac{1}{(1-x_{i})^{2}} \).

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