4x^3 + 4x^2y - 15xy^2 - 18y^3 - 12x^2 + 6xy + 36y^2 + 5x...
Source: IMO Longlist 1989, Problem 10
September 18, 2008
algebra unsolvedalgebra
Problem Statement
Given the equation 4x^3 \plus{} 4x^2y \minus{} 15xy^2 \minus{} 18y^3 \minus{} 12x^2 \plus{} 6xy \plus{} 36y^2 \plus{} 5x \minus{} 10y \equal{} 0, find all positive integer solutions.