olymmath

ISL 2019 N2

  • Answer

Find all triples (a,b,c)(a, b, c) of positive integers such that a3+b3+c3=(abc)2a^{3}+b^{3}+c^{3}=(a b c)^{2}. (Nigeria)

Dataset text NuminaMath olympiads. Quoted with source.

Official text: IMO 2019 Shortlist booklet, page 11.

Show the answer

(3,2,1)

Solutions

Official solution Solution 1 by the IMO Problem Selection Committee

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