## 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:

$x^2 \; + \; y^2 \; - \; 1 \; = \; A^2$
$x^2 \; - \; y^2 \; - \; 1 \; = \; B^2$

and another family of solutions