Difference between revisions of "SolveCubic Command"

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m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)")
(change example, add Solve(), CSolve() examples)
 
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;SolveCubic( <Cubic Polynomial> )  
 
;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>}}
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:{{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>}}
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{{note| 1=<div>Often the answers are very cumbersome, e.g. <code><nowiki>SolveCubic(x³ + x² + x + 2)</nowiki></code> in which case <code>Solve(x³ + x² + x + 2)</code> or <code>CSolve(x³ + x² + x + 2)</code> may work better for you.</div>}}

Latest revision as of 12:07, 27 November 2018


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:
Often the answers are very cumbersome, e.g. SolveCubic(x³ + x² + x + 2) in which case Solve(x³ + x² + x + 2) or CSolve(x³ + x² + x + 2) may work better for you.
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