olymmath

JBMO-SL 2011 A4

  • Answer

Let x,yx, y be positive real numbers such that x3+y3≤x2+y2x^{3}+y^{3} \leq x^{2}+y^{2}. Find the greatest possible value of the product xyx y.

Dataset text NuminaMath olympiads. Quoted with source.

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