olymmath

OMCPLP 2022 Problem 4

  • Day 2

How many integer solutions exist that satisfy this equation? x+4y−343x−686y+4xy+2022=0x+4y-343\sqrt{x}-686\sqrt{y}+4\sqrt{xy}+2022=0 .

Dataset text AI-MO AoPS. Quoted with source.

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