Difference between revisions of "SolveCubic Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
 
==CAS Syntax==
 
==CAS Syntax==
;SolveCubic[ <Cubic Polynomial> ]
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;SolveCubic( <Cubic Polynomial> )
 
:Solves a given [[w:Cubic_function|cubic polynomial]] and returns a list of all solutions.
 
:Solves a given [[w:Cubic_function|cubic polynomial]] and returns a list of all solutions.
 
:{{example| 1=<div><code><nowiki>SolveCubic[x³ - 1]</nowiki></code> yields  { 1, <math> \frac{1}{2} (\sqrt{3} i -1) </math> , <math>  \frac{1}{2} (\sqrt{3} (-i) -1)  </math> } .</div>}}
 
:{{example| 1=<div><code><nowiki>SolveCubic[x³ - 1]</nowiki></code> yields  { 1, <math> \frac{1}{2} (\sqrt{3} i -1) </math> , <math>  \frac{1}{2} (\sqrt{3} (-i) -1)  </math> } .</div>}}
 
{{note| 1=<div>You will often need to simplify your answers manually, e.g. <code><nowiki>SolveCubic[x³ + x² + x + 1]</nowiki></code>.</div>}}
 
{{note| 1=<div>You will often need to simplify your answers manually, e.g. <code><nowiki>SolveCubic[x³ + x² + x + 1]</nowiki></code>.</div>}}

Revision as of 17:16, 7 October 2017


CAS Syntax

SolveCubic( <Cubic Polynomial> )
Solves a given cubic polynomial and returns a list of all solutions.
Example:
SolveCubic[x³ - 1] yields { 1, \frac{1}{2} (\sqrt{3} i -1) , \frac{1}{2} (\sqrt{3} (-i) -1) } .
Note:
You will often need to simplify your answers manually, e.g. SolveCubic[x³ + x² + x + 1].
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