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Simplifying with assumptions

  • To: mathgroup at
  • Subject: [mg48949] Simplifying with assumptions
  • From: "Mietek Bak" <mietek at>
  • Date: Fri, 25 Jun 2004 02:58:13 -0400 (EDT)
  • Sender: owner-wri-mathgroup at


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

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.


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