MathDB

Regional Olympiad - FBH 2016 Grade 10 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2016

September 22, 2018

number theoryDivisibilityFBHPerfect Square

Problem Statement

Let

a

and

b

be two positive integers such that

2ab

divides

a^2+b^2-a

. Prove that

a

is perfect square