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a very easy quadratic equation problem

Source: Turkey Junior National Olympiad 2020 #P1

March 5, 2021
quadratic equationnumber theory

Problem Statement

Determine all real number (x,y)(x,y) pairs that satisfy the equation. 2x2+y2+7=2(x+1)(y+1)2x^2+y^2+7=2(x+1)(y+1)
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