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MathGroup Archive 2002

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Re: How to find and plot real roots?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33576] Re: How to find and plot real roots?
  • From: Tim Brophy <timbrophy at eircom.net>
  • Date: Mon, 1 Apr 2002 02:02:09 -0500 (EST)
  • References: <a86kjt$ju3$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

On 3/31/02 11:24 AM, in article a86kjt$ju3$1 at smc.vnet.net, "Chitchanok
Carlen" <anok at earthlink.net> wrote:

> How does one find the real root, for example:
> 
> (-1)^(1/3) in Mathematica ?
> 
> Also, I want to plot x^(1/3)*(x+3)^(2/3), but the fact that Mathematica
> doesn't 
> know which roots to pick causes errors in the Plot function.  How to force
> it to find real roots?
> 
> Thanks.
> 
In "The Beginner's Guide to Mathematica" by Jerry Glynn and Theodore Gray ,
you will find your question answered. Start your notebook with
Needs["Miscellaneous`RealOnly`"]; Now you can do what you like.

Solve[x^3 == -1, x]
Nonreal::"warning": "Nonreal number encountered."
{{x -> -1}, {x -> Nonreal}, {x -> Nonreal}}

And 
Plot[x^(1/3)*(x + 3)^(2/3), {x, -5, 5}];
Will give you the graph you want.

Tim Brophy


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