olymmath

JBMO-SL 2020 A3

  • Answer

Find all triples of positive real numbers (a,b,c)(a, b, c) so that the expression

M=(a+b)(b+c)(a+b+c)abcM=\frac{(a+b)(b+c)(a+b+c)}{a b c}

gets its least value.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{11+5\sqrt{5}}{2}

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