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3x^2+x=4y^2+y - Iran NMO 1997 (Second Round) - Problem1

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October 5, 2010
number theory proposednumber theory

Problem Statement

Let x,yx,y be positive integers such that 3x2+x=4y2+y3x^2+x=4y^2+y. Prove that xāˆ’yx-y is a perfect square.
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