Find all integer numbers such that

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- June 1st 2012, 12:18 AMharryphamFind all positive integer numbers
Find all integer numbers such that

- June 5th 2012, 02:54 PMMedia_ManRe: Find all positive integer numbers
Well, here's three for you for , none of which are positive though: . I'm not finding any more by blind searching. By making the substitutions , you can get a quadratic on : as long as . Solve for using quadratic formula and replace back in terms of and you can simplify to . Not sure if that's any better, but you might be able to parametrize that bit under the radical to get a list of pairs that give you a perfect square. That's as far as I've gotten so far. Was there a context for this?

- June 6th 2012, 08:29 AMSarasijRe: Find all positive integer numbers
There are exactly 4 integer solutions to this eqaution as calculated by WolframAlpha search engine ... here's the result:

(x^2+y)*(x+y^2) ;=(x-y)^2 - Wolfram|Alpha