Difference between revisions of "CSolutions Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
{{command|CAS}}
 
{{command|CAS}}
 
;CSolutions[ <Equation> ]
 
;CSolutions[ <Equation> ]
:{{description}}
+
: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 ''{{ί}, {-ί}}'', the solutions of ''x<sup>2</sup> = 1''.</div>}}
 
;CSolutions[ <Equation>, <Variable> ]
 
;CSolutions[ <Equation>, <Variable> ]
:{{description}}
+
: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>}}
 +
{{note| 1=<div>
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*The complex ί is obtained by pressing ALT + i. See also [[Complex Command]].
 +
*See also [[CSolutions Command]] and [[Solve Command]].
 +
</div>}}

Revision as of 12:35, 4 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 {{1 + 2 ί, 1 + ί}, {1 - 2 ί,1 - ί}}, the complex solutions of y2 = x and x = 2 * y - 1.
Note:
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