sum_03 (roots200^{200})

Algebra Level 4

Let f(x)=1+x+x2++x199f(x) = 1+x+x^2+ \cdots + x^{199} and a1,a2,a3,a199a_1, a_2, a_3, \cdots a_{199} be the roots of f(x)f(x). Find k=1199ak200\displaystyle \sum_{k=1}^{199} a_k^{200}.

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