AUSTRIAN-POLISH 1983 Problem 1

Nonnegative real numbers $a, b,x,y$ satisfy $a^5 + b^5 \le$ 1 and $x^5 + y^5 \le 1$ . Prove that $a^2x^3 + b^2y^3 \le 1$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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