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Simplifying with assumptions


Hello,

I'm a complete newcomer to Mathematica, so please excuse this possibly
silly question.

I'm trying to determine if a formula will ever give an integer result,
assuming that all variables used in it are integer.  I've been searching
through the built-in documentation, but my best guess didn't really do
anything:

Simplify[Element[Sqrt[48 - n^2 + 8*x],Integers],Element[{n, x},Integers]]

It would be best if I could somehow determine the set of combinations of
variables that would give an integer result -- if there are any.  Is
there a way to do that in Mathematica?

Thanks in advance,
Mietek Bak.


-- 
    desp;
}


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