MathDB
a infinity of triplets satisfying the relation

Source:

November 26, 2010
algebra unsolvedalgebra

Problem Statement

Prove that exists a infinity of triplets a,b,cāˆˆRa, b, c\in\mathbb{R} satisfying simultaneously the relations a+b+c=0a+b+c=0 and a4+b4+c4=50a^4+b^4+c^4=50.
Moldova National Math Olympiad 2010, 12th grade
Back to ProblemsView on AoPS