To make {x^2 + y^2 – 1, x^2 – y^2 – 1} squares

 
 
Find two distinct positive integers   x, \; y   to make the two expressions squares

x^2 \; + \; y^2 \; - \; 1
x^2 \; - \; y^2 \; - \; 1

 
 
 
Here’s one family of solutions:
      
                                                                   x^2 \; + \; y^2 \; - \; 1 \; = \; A^2
                                                                   x^2 \; - \; y^2 \; - \; 1 \; = \; B^2

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and another family of solutions

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About benvitalis

math grad - Interest: Number theory
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