# 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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