Difference between revisions of "SolveCubic Command"
From GeoGebra Manual
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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 | + | ;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]
.