y^4 + 4y^2x - 11y^2 + 4xy - 8y + 8x^2 - 40x + 52 = 0
Source: IMO Longlist 1989, Problem 11
September 18, 2008
algebra unsolvedalgebra
Problem Statement
Given the equation y^4 \plus{} 4y^2x \minus{} 11y^2 \plus{} 4xy \minus{} 8y \plus{} 8x^2 \minus{} 40x \plus{} 52 \equal{} 0, find all real solutions.