MathDB

1

Part of 2012 Mathcenter Contest + Longlist

Problems(1)

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

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

11/13/2022
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)
number theoryDiophantine equationdiophantine