Question

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

Answer 1

Answer:

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Answer 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