How many pairs of positive integers (x,y) satisfy the equation x^2-y^2=14?

x^2 - y^2   =  14

(x + y)  ( x - y)  =  14

Factors of 14   =  1,2,7,14

So

7 * 2    =   14

14  *  1   =  14

No pair  of   integers   x, y   will satisfy this  because no two  positive integers sum is 7 and difference is 2

Ditto for   14  and 1