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diophantine a^2 + b^2 + c^2 =3(ab + bc + ca)

Source: 2015 VMEO IV Juniors 10.3 Vietnamese Mathematics e - Olympiad https://artofproblemsolving.com/community/c2463156_2015_vmeo_iv

September 15, 2021
number theoryDiophantine equationdiophantine

Problem Statement

Find all triples of integers (a,b,c)(a, b, c) satisfying a2+b2+c2=3(ab+bc+ca).a^2 + b^2 + c^2 =3(ab + bc + ca).
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