Turkish NMO First Round - 2012 Problem - 23 {Algebra}
Source:
July 1, 2012
algebrapolynomialVieta
Problem Statement
a,b,c are distinct real roots of x3−3x+1=0. a8+b8+c8 is<spanclass=′latex−bold′>(A)</span>156<spanclass=′latex−bold′>(B)</span>171<spanclass=′latex−bold′>(C)</span>180<spanclass=′latex−bold′>(D)</span>186<spanclass=′latex−bold′>(E)</span>201