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a^2+b^2-8c = 6

Source: Mathcenter Contest / Oly - Thai Forum 2012 sl-1 https://artofproblemsolving.com/community/c3196914_mathcenter_contest

November 13, 2022
number theoryDiophantine equationdiophantine

Problem Statement

Prove without using modulo that there are no integers a,b,ca,b,c such that a2+b2āˆ’8c=6a^2+b^2-8c = 6
(Metamorphosis)
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