# Let #a# and #b# be positive integers such that #ab + 1# divides #a^2 + b^2#. Show that #(a^2 + b^2) / (ab + 1)# is the square of an integer. ?

##### 1 Answer

Sep 3, 2016

See below.

#### Explanation:

Supposing that

all the

The question follows. Are those all solutions?