MathDB

x³+y³=4·(x²y+xy²+1)

Source: Germany Bundeswettbewerb Mathematik 2006, Day 1, Problem 2

April 4, 2006

calculusintegrationgeometry3D geometry

Problem Statement

Prove that there are no integers

x,y

for that it is

x^3+y^3=4\cdot(x^2y+xy^2+1)