TUYMAADA 2002 Problem 5

Prove that for all $x, y \in$ $0, 1$ the inequality $5 (x^2+ y^2) ^2 \leq 4 + (x +y) ^4$ holds.

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.