olymmath

JBMO-SL 2008 A5

  • Answer

Find all triples (x,y,z)(x, y, z) of real positive numbers, which satisfy the system

{1x+4y+9z=3x+y+z≤12\left\{\begin{array}{l} \frac{1}{x}+\frac{4}{y}+\frac{9}{z}=3 \\ x+y+z \leq 12 \end{array}\right.

Dataset text NuminaMath olympiads. Quoted with source.

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(2,4,6)

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