olymmath

BALTIC-WAY 1998 Problem 3

  • Answer

Find all pairs of positive integers x,yx, y which satisfy the equation

2x2+5y2=11(xy−11). 2 x^{2}+5 y^{2}=11(x y-11) \text {. }

Dataset text NuminaMath olympiads. Quoted with source.

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(x, y)=(14,27)

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