This is a followup to Divisibility to square.

Each of x and y is a positive integer such that x^2 + y^2 + x is divisible by xy.

1: Prove that there is an infinite number of (x,y) which make the quotient equal to 3.

2: Prove or disprove 3 is the only integer quotient possible.

Given F(n) = nth term in the Fibonacci sequence 1,1,2,3,5,8,13,21,34,55,89,144,...

Posted by xdog on 2016-08-07 13:19:05