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Re: Equations over Domains with Mathematica 4?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg103070] Re: Equations over Domains with Mathematica 4?
  • From: Szabolcs Horvát <szhorvat at gmail.com>
  • Date: Mon, 7 Sep 2009 02:34:10 -0400 (EDT)
  • References: <h80705$18i$1@smc.vnet.net>

On 2009.09.06. 13:38, Martin Harborth wrote:
> For the following equation, I want to get only the solutions
> for z where z is real:
>
> Reduce[13219.56 == 20000/1.95583 * (1 + z)^11, z]
>
> It is suggested that one uses
>
> Reduce[13219.56 == 20000/1.95583 * (1 + z)^11, z, Reals]
>
> But I use Mathematica 4 and it seems that Reduce does not have
> this option in this Mathematica version.
>
> Can I anyway constrain the solution space with Mathematica 4?

Since you have a polynomial equation with inexact coefficients, I 
suggest using NSolve, and filtering out the non-real solutions in the end.

I cannot test it in Mathematica 4, but I believe this will work:

Select[z /. NSolve[13219.56 == 20000/1.95583*(1 + z)^11, z],
  Im[#] == 0 &]


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