PUZZLET 063

A Diophantine Equation

The equation x^{2}= 2y^{4}-1 can be satisfied for the values x = 1 and y = 1. Find an alternative solution with the lowest value integers for x and y except 1.

An equation of this type, where variable values are only allowed to be integers is Diophantine.

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Last Updated: January 12th, 2010.