What is an Integral Solution in Equations?

[teddyayalew]

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?

 

[Robert1986]

It means that the solution is an integer.

 

[Akshay_Anti]

It means that all the variables involved have their roots in form of integers.

 

[CallMeShady]

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

 

[Mark44]

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.