olymmath

IMO 1964 Problem 2

  • Day 1

Suppose a,b,ca,b,c are the sides of a triangle. Prove that a2(b+c−a)+b2(a+c−b)+c2(a+b−c)≤3abca^2(b+c-a)+b^2(a+c-b)+c^2(a+b-c) \leq 3abc

Official text Transcription from AI-MO AoPS, checked word for word against the official paper. Quoted with source.

Official text: IMO 1964 official English paper, page 1.

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