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I keep getting either negative or super long answers or super long negative answers in no particular order :\ ... Is there a way to only ask for positive solutions? (here we want 0 < x<(10^12+y) I tried using Assumptions but it didn't work :<

FindInstance[ 1/2 == x/(1000000000000 + y)*(x - 1)/(1000000000000 + y - 1), {x,  y}, Integers]
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FindInstance[
 1/2 == x/(1000000000000 + y)*(x - 1)/(1000000000000 + y - 1) && 
  x > 0 && y > 0, {x, y}, Integers]
(*{{x -> 756872327473, y -> 70379110497}}*)
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  • $\begingroup$ perfect, thanks! :D $\endgroup$ – Raksha Feb 17 '15 at 0:21

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