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Regional Olympiad - FBH 2011 Grade 11 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2011

September 26, 2018
number theoryequation

Problem Statement

For positive integers aa and bb holds a3+4a=b2a^3+4a=b^2. Prove that a=2t2a=2t^2 for some positive integer tt
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