olymmath

JBMO-SL 2011 A5

  • Answer

Determine the positive integers a,ba, b such that a2b2+208=4{lcm[a;b]+gcd(a;b)}2a^{2} b^{2}+208=4\{l c m[a ; b]+g c d(a ; b)\}^{2}.

Dataset text NuminaMath olympiads. Quoted with source.

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(a, b) \in{(2,12) ;(4,6) ;(6,4) ;(12 ; 2)}

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