olymmath

INMO 2009 Problem 6

    Let a,b,ca, b, c be positive real numbers such that a3+b3=c3a^{3}+b^{3}=c^{3}. Prove that

    a2+b2−c2>6(c−a)(c−b)a^{2}+b^{2}-c^{2}>6(c-a)(c-b)

    Dataset text NuminaMath olympiads. Quoted with source.

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