Difference between revisions of "2006 IMO Problems/Problem 4"

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Determine all pairs <math>(x, y)</math> of integer such that <math>1+2^x+2^{2x+1}=y^2</math>.
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===Problem===
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Determine all pairs <math>(x, y)</math> of integers such that <cmath>1+2^{x}+2^{2x+1}= y^{2}.</cmath>

Revision as of 14:27, 2 October 2012

Problem

Determine all pairs $(x, y)$ of integers such that \[1+2^{x}+2^{2x+1}= y^{2}.\]