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

> 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 ,
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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