Difference between revisions of "CSolutions Command"

Latest revision as of 10:46, 12 October 2017

CAS Syntax

CSolutions( <Equation> ): Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions.; Example: CSolutions(x^2 = -1) yields {ί, -ί}, the complex solutions of x² = -1.

CSolutions( <Equation>, <Variable> ): Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.; Example: CSolutions(a^2 = -1, a) yields {ί, -ί}, the complex solutions of a² = -1.

CSolutions( <List of Equations>, <List of Variables> ): Solves a set of equations for a given set of unknown variables and returns a list of all solutions, allowing for complex solutions.; Example: CSolutions({y^2 = x - 1, x = 2 * y - 1}, {x, y}) yields \begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - ί\end{pmatrix}, the complex solutions of y² = x - 1 and x = 2 * y - 1.

Notes:

The complex ί is obtained by pressing ALT + i.
See also CSolve Command and Solutions Command.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.0}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|geogebra}}
-{{command|CAS}}
+==CAS Syntax==
-;CSolutions[ <Equation> ]
+;CSolutions( <Equation> )
-:Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions, allowing for complex solutions.
+:Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions.
-:{{Example|1=<div><code><nowiki>CSolutions[x^2 = -1]</nowiki></code> gives ''{ί, -ί}'', the solutions of ''x<sup>2</sup> = -1''.</div>}}
+:{{example|1=<code><nowiki>CSolutions(x^2 = -1)</nowiki></code> yields ''{ί, -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.}}
-;CSolutions[ <Equation>, <Variable> ]
+;CSolutions( <Equation>, <Variable> )
-:Solves an equation (or a set of equations) for a given unknown variable (or set of variables) and returns a list of all solutions, allowing for complex solutions.
+:Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.
-:{{Example|1=<div><code><nowiki>CSolutions[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]</nowiki></code> gives <math>\begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - ί\end{pmatrix}</math>, the complex solutions of ''y<sup>2</sup> = x - 1'' and ''x = 2 * y - 1''.</div>}}
+:{{example|1=<code><nowiki>CSolutions(a^2 = -1, a)</nowiki></code> yields ''<nowiki>{ί, -ί}</nowiki>'', the complex solutions of ''a<sup>2</sup> = -1''.}}
-{{note| 1=<div>
+;CSolutions( &lt;List of Equations>, &lt;List of Variables> )
-*The complex ί is obtained by pressing ALT + i.
+:Solves a set of equations for a given set of unknown variables and returns a list of all solutions, allowing for complex solutions.
+:{{example|1=<code><nowiki>CSolutions({y^2 = x - 1, x = 2 * y - 1}, {x, y})</nowiki></code> yields <math>\begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - ί\end{pmatrix}</math>, the complex solutions of ''y<sup>2</sup> = x - 1'' and ''x = 2 * y - 1''.}}
+{{notes| 1=<div>
+*The complex ί is obtained by pressing {{KeyCode|ALT + i}}.
 *See also [[CSolve Command]] and [[Solutions Command]].
 </div>}}

Difference between revisions of "CSolutions Command"

Latest revision as of 10:46, 12 October 2017

CSolutions

Command Categories (All commands)

CAS Syntax