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1/a+1/b=1/c => a+b square HOMC 2009 J Q3

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July 25, 2019
number theoryPerfect Square

Problem Statement

Let a,b,ca, b,c be positive integers with no common factor and satisfy the conditions 1a+1b=1c\frac1a +\frac1b=\frac1c Prove that a+ba + b is a square.
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