Difference between revisions of "CSolutions Command"
From GeoGebra Manual
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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> ] | ||
− | :{{ | + | :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> ] | ||
− | :{{ | + | :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> | ||
+ | *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:
- The complex ί is obtained by pressing ALT + i. See also Complex Command.
- See also CSolutions Command and Solve Command.