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

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

Revision as of 13:27, 2 October 2012

Problem

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