Newton or Vieta?
Algebra
Level
4
Let \(r_1\), \(r_2\), \(r_3\), ..., and \(r_{20}\) be the roots of the equation \(z^{20}-19z+2=0\).
Find
\[r_1^{20}+r_2^{20}+r_3^{20}+\dots+r_{20}^{20}\]
by
Arulx Z