If-a-and-b-are-positive-integers-such-that-1-ab-divides-a-2-b-2-show-that-the-integer-a-2-b-2-1-ab-must-be-a-perfect-square-

Question Number 56912 by Kunal12588 last updated on 26/Mar/19

If a and b are positive integers such that

(1 + a b) divides (a^{2} + b^{2}) show that the integer

\frac{a^{2} + b^{2}}{1 + a b} must be a perfect square .

Commented by kaivan.ahmadi last updated on 26/Mar/19

I g u e s s I a n d m r W h a v e s o l v e d t h i s

q u e s t i o n b y t w o w a y

Commented by Kunal12588 last updated on 27/Mar/19

q u e s t i o n n u m b e r p l e a s e

Commented by kaivan.ahmadi last updated on 27/Mar/19

N o . 53618

Commented by kaivan.ahmadi last updated on 27/Mar/19

Answered by kaivan.ahmadi last updated on 27/Mar/19