MathDB
BMT 2015 Spring - Individual 11

Source:

January 22, 2022
algebra

Problem Statement

Let r,sr, s, and tt be the three roots of the equation 8x3+1001x+2008=08x^3 + 1001x + 2008 = 0. Find (r+s)3+(s+t)3+(t+r)3(r + s)^3 + (s + t)^3 + (t + r)^3 .