多项式根的k次方之和的新解法

A new solution on the sum of roots to the kth power of n order of polynomial

若xj(j=1 ,2 ,… ,n)是n次方程a_nx^n+a_(n -1) x^(n -1) +… +a_1 x +a_0 =0的n个根 ,将给出一种求这n个根x_1 ,x_2 ,… ,x_n 的k次方之和sum from i=1 to n(x_i^k)的新方法。

This paper introduces a new solution forsum from i=1 to n(x_i^k),and x_j(j=1,2,...,n) satisfy the equation of f(x)=a_nx^n+a_(n-1)x~(n-1^+...+a_1x+a_0=0.