MathDB
2 quadratics

Source: RS2004

March 20, 2005
quadraticsalgebra proposedalgebra

Problem Statement

Determine all pairs of positive integers (a,b)(a,b), such that the roots of the equations x2ax+a+b3=0,x^2-ax+a+b-3=0, x2bx+a+b3=0,x^2-bx+a+b-3=0, are also positive integers.