Simplifying with assumptions

*To*: mathgroup at smc.vnet.net*Subject*: [mg48949] Simplifying with assumptions*From*: "Mietek Bak" <mietek at icpnet.pl>*Date*: Fri, 25 Jun 2004 02:58:13 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

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; }

**Follow-Ups**:**Re: Simplifying with assumptions***From:*DrBob <drbob@bigfoot.com>

**Re: Simplifying with assumptions***From:*Daniel Lichtblau <danl@wolfram.com>

**Re: Simplifying with assumptions***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>