# 100 Roots

Algebra Level 4

Let the 100 roots of the equation $$x^{100}-5x+2=0$$ be $$r_{1}, r_{2}, r_{3},\ldots, r_{100}$$. Find $r_{1}^{100}+r_{2}^{100}+r_{3}^{100}+\cdots+r_{100}^{100} .$

×