olymmath

ISL 2006 N1

  • Answer

Determine all pairs (x,y)(x, y) of integers satisfying the equation 1+2x+22x+1=y2.1+2^{x}+2^{2 x+1}=y^{2} .

Dataset text NuminaMath olympiads. Quoted with source.

Official text: IMO 2006 Shortlist booklet, page 56.

Show the answer

(0,2),(0,-2),(4,23),(4,-23)

Solutions

Official solution Solution 1 by the IMO Problem Selection Committee

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