Re: Number of roots from Solve?
- To: mathgroup at smc.vnet.net
- Subject: [mg48457] Re: Number of roots from Solve?
- From: Bill Rowe <readnewsciv at earthlink.net>
- Date: Mon, 31 May 2004 00:13:33 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
On 5/30/04 at 6:12 AM, akoz at mimuw.edu.pl (Andrzej Kozlowski) wrote:
>I think having inexact coefficients does not make any difference
>here since I am pretty sure Solve first applies Rationalize to
>everything. In fact I don&t think it would not make any sense to do
>otherwise, given that Solve uses only algebraic and not numerical
>techniques. Since the equations are non-polynomial I can see
>nothing at all strange about them having very different numbers of
>roots.
I don't understand your comments regarding Solve and Rationalize. Why does the fac Solve uses algebraic techniques imply the usage of Rationalize?
If I do
Solve[x^2+.1 x + .01 == 0,x]
I get
{x->-0.1,x->-0.1}
and if I do
Solve[Rationalize[x^2 + .1 x + .01 == 0], x]
I get
{x->-1/10}, x->-1/10}
Doesn't that argue against Solve first applying Rationalize?
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