olymmath

JBMO-SL 2005 A4

  • Answer

Find all the integer solutions of the equation

9x2y2+9xy2+6x2y+18xy+x2+2y2+5x+7y+6=09 x^{2} y^{2}+9 x y^{2}+6 x^{2} y+18 x y+x^{2}+2 y^{2}+5 x+7 y+6=0

Dataset text NuminaMath olympiads. Quoted with source.

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(-2,0),(-3,0),(0,-2),(-1,2)

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