APMO 2011 Problem 1

Discussion on Asian Pacific Mathematical Olympiad (APMO)
samiul_samin
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APMO 2011 Problem 1

Unread post by samiul_samin » Thu Jan 10, 2019 11:33 pm

Let $a,b,c$ be positive integers. Prove that it is impossible to have all of the three numbers $a^2+b+c,b^2+c+a,c^2+a+b$ to be perfect squares.

tanmoy
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Re: APMO 2011 Problem 1

Unread post by tanmoy » Wed Jan 30, 2019 12:10 pm

Topic locked. Already Posted here:
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