olymmath

JBMO-SL 2005 A2

  • Answer

Find all positive integers x,yx, y satisfying the equation

9(x2+y2+1)+2(3xy+2)=20059\left(x^{2}+y^{2}+1\right)+2(3 x y+2)=2005

Dataset text NuminaMath olympiads. Quoted with source.

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(x, y)=(11,7) \text{ or } (x, y)=(7,11)

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