MathDB
Quadratic equation

Source: Taiwan NMO 2006

March 21, 2006
quadraticscalculusintegrationalgebraalgebra proposed

Problem Statement

If positive integers p,q,rp,q,r are such that the quadratic equation px2āˆ’qx+r=0px^2-qx+r=0 has two distinct real roots in the open interval (0,1)(0,1), find the minimum value of pp.
Back to ProblemsView on AoPS