meaning of the word integral

I've seen the word used in a context that is not related to calculus, but I never understood what it meant. What does it mean if an equation has an integral solution?

Here is a context:If X^2 +Y^2 = 2aXY has a positive integral solution, find the value of a. What does it mean to have an integral solution?

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 It means that the solution is an integer.
 It means that all the variables involved have their roots in form of integers.

meaning of the word integral

As stated above, I believe that the solution is an interger (i.e. you won't have decimal or fractions as an answer).

Mentor
 Quote by CallMeShady As stated above, I believe that the solution is an interger (i.e. you won't have decimal or fractions as an answer).
That's integer, but you are otherwise correct.