Roots and its relations

Algebra Level 4

Let x1,x2,...,x10x_1, x_2, . . ., x_{10} be the roots of the polynomial x10+x9++x+1x^{10}+x^9+\cdots +x+1. Find the value of n=11011xn\large{\sum_{n=1}^{10} \frac{1}{1-x_n}}

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