Problem 9 (2003 AIME II)
AIME IIMedium
From module Newton's Sums
Problem
Consider the polynomials x² + ax + b and x² + px + q. Given that a and b are the roots of x² + px + q = 0, find a² + b² in terms of p and q.
From module Newton's Sums
Consider the polynomials x² + ax + b and x² + px + q. Given that a and b are the roots of x² + px + q = 0, find a² + b² in terms of p and q.