Difference between revisions of "CSolutions Command"

Latest revision as of 10:46, 12 October 2017

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.

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+<noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|geogebra}}
-<noinclude>{{Manual Page|version=4.0}}</noinclude>
+==CAS Syntax==
-{{command|CAS}}
+;CSolutions( <Equation> )
-;CSolutions[ <Equation> ]
+:Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions.
-:{{description}}
+:{{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> )
-:{{description}}
+:Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.
+:{{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''.}}
+;CSolutions( &lt;List of Equations>, &lt;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|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>}}