Difference between revisions of "CSolutions Command"

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;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 (or a set of equations) for the variable x and returns a list of all solutions, allowing for complex solutions.
:{{Example|1=<div><code><nowiki>CSolutions[x^2 = -1]</nowiki></code> gives ''{}, {}}'', the solutions of ''x<sup>2</sup> = -1''.</div>}}
+
:{{Example|1=<div><code><nowiki>CSolutions[x^2 = -1]</nowiki></code> gives ''{ί, -ί}'', the solutions of ''x<sup>2</sup> = -1''.</div>}}
 
;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 (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.
:{{Example|1=<div><code><nowiki>CSolutions[{y^2 = x- 1, x = 2 * y - 1}, {x, y}]</nowiki></code> gives ''<nowiki>{{1 + 2 ί, 1 + ί}, {1 - 2 ί,1 - ί}}</nowiki>'', the complex solutions of ''y<sup>2</sup> = x'' and ''x = 2 * y - 1''.</div>}}
+
:{{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'' and ''x = 2 * y - 1''.</div>}}
 
{{note| 1=<div>
 
{{note| 1=<div>
 
*The complex ί is obtained by pressing ALT + i. See also [[Complex Command]].
 
*The complex ί is obtained by pressing ALT + i. See also [[Complex Command]].
 
*See also [[CSolve Command]] and [[Solutions Command]].
 
*See also [[CSolve Command]] and [[Solutions Command]].
 
</div>}}
 
</div>}}

Revision as of 13:10, 11 August 2011


This command works in CAS View only.

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.
Example:
CSolutions[x^2 = -1] gives {ί, -ί}, the solutions of x2 = -1.
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.
Example:
CSolutions[{y^2 = x- 1, x = 2 * y - 1}, {x, y}] gives \begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - ί\end{pmatrix}, the complex solutions of y2 = x and x = 2 * y - 1.
Note:
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