Difference between revisions of "CSolve Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|geogebra}} | <noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|geogebra}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;CSolve | + | ;CSolve( <Equation> ) |
:Solves a given equation for the main variable 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>CSolve[x^2 = -1]</nowiki></code> yields ''{x = ί, x = -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.</div>}} | :{{example|1=<div><code><nowiki>CSolve[x^2 = -1]</nowiki></code> yields ''{x = ί, x = -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.</div>}} | ||
| − | ;CSolve | + | ;CSolve( <Equation>, <Variable> ) |
:Solves an equation for a given unknown variable 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>CSolve[a^2 = -1, a]</nowiki></code> yields ''<nowiki>{a = ί, a = -ί}</nowiki>'', the complex solutions of ''a<sup>2</sup> = -1''.</div>}} | :{{example|1=<div><code><nowiki>CSolve[a^2 = -1, a]</nowiki></code> yields ''<nowiki>{a = ί, a = -ί}</nowiki>'', the complex solutions of ''a<sup>2</sup> = -1''.</div>}} | ||
| − | ;CSolve | + | ;CSolve( <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. | :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=<div><code><nowiki>CSolve[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]</nowiki></code> yields ''<nowiki>{{x = 1 - 2 ί, y = 1 + ί}, {x = 1 + 2 ί, y = 1 - ί}}</nowiki>'', the complex solutions of ''y<sup>2</sup> = x'' and ''x = 2 * y - 1''.</div>}} | :{{example|1=<div><code><nowiki>CSolve[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]</nowiki></code> yields ''<nowiki>{{x = 1 - 2 ί, y = 1 + ί}, {x = 1 + 2 ί, y = 1 - ί}}</nowiki>'', the complex solutions of ''y<sup>2</sup> = x'' and ''x = 2 * y - 1''.</div>}} | ||
Revision as of 17:15, 7 October 2017
CAS Syntax
- CSolve( <Equation> )
- Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions.
- Example:
CSolve[x^2 = -1]yields {x = ί, x = -ί}, the complex solutions of x2 = -1.
- CSolve( <Equation>, <Variable> )
- Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.
- Example:
CSolve[a^2 = -1, a]yields {a = ί, a = -ί}, the complex solutions of a2 = -1.
- CSolve( <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:
CSolve[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]yields {{x = 1 - 2 ί, y = 1 + ί}, {x = 1 + 2 ί, y = 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 CSolutions Command and Solve Command.
