MathDB
x^2+y^2+z^2+xy+yz+zx=6xyz diophantine

Source: Greece Junior Math Olympiad 2024 p4

March 2, 2024
number theoryDiophantine equationdiophantine

Problem Statement

Prove that there are infinite triples of positive integers (x,y,z)(x,y,z) such that x2+y2+z2+xy+yz+zx=6xyz.x^2+y^2+z^2+xy+yz+zx=6xyz.
Back to ProblemsView on AoPS