olymmath

IMO 1963 Problem 1

  • Day 1

Find all real roots of the equation x2−p+2x2−1=x\sqrt{x^2-p}+2\sqrt{x^2-1}=x where pp is a real parameter.

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

Official text: IMO 1963 official English paper, page 1.

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