Number of non-negative integral pairs (x,y) for which x2 – y2 = 13​

2 thoughts on “Number of non-negative integral pairs (x,y) for which x2 – y2 = 13​”

1. Answer:

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2. Answer:

   (xy−7)2=x2+y2

   x2y2−14xy+49=x2+y2

   x2y2−12xy+49=x2+2xy+y2

   (xy−6)2+13=(x+y)2

   13=(x+y)2−(xy−6)2

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