MathDB
System of Equations

Source: RMO 2019 Paper 2 P3

November 10, 2019
indiaRMOalgebraInequalitysystem of equations

Problem Statement

Find all triples of non-negative real numbers (a,b,c)(a,b,c) which satisfy the following set of equations a2+ab=ca^2+ab=c b2+bc=ab^2+bc=a c2+ca=bc^2+ca=b
Back to ProblemsView on AoPS