CGMO 2005 Problem 5

Let $x$ and $y$ be positive real numbers with $x^3 + y^3 = x - y.$ Prove that $x^2 + 4y^2 < 1.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.