Problem 7 (2008 AIME II)
AIME IIMedium
From module Newton's Sums
Problem
Let r, s, and t be the three roots of the equation x³ - 15x² + 74x - 120 = 0. Find r²s + rs² + r²t + rt² + s²t + st².
From module Newton's Sums
Let r, s, and t be the three roots of the equation x³ - 15x² + 74x - 120 = 0. Find r²s + rs² + r²t + rt² + s²t + st².