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Divisibility to Square II (Posted on 2016-08-07) Difficulty: 4 of 5
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.

No Solution Yet Submitted by Brian Smith    
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  Subject Author Date
Some ThoughtsPossible solutionbroll2016-08-08 00:30:54
Part 1, offered without proofxdog2016-08-07 13:19:05
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