olymmath

RU-ALLRUSSIAN 1984 Problem 2

    Show that (a+b)2/2+(a+b)/4≥ab+ba(a + b)^2 /2 + (a + b) / 4 \geq a\sqrt{b} + b\sqrt{a} for all positive a and b.

    Dataset text NuminaMath olympiads. Quoted with source.

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