Difference between revisions of "CSolve Command"
From GeoGebra Manual
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: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>CSolve[x^2 = 1]</nowiki></code> gives ''{{x = ί}, {x = -ί}}'', the solutions of ''x<sup>2</sup> = 1''.</div>}} | :{{Example|1=<div><code><nowiki>CSolve[x^2 = 1]</nowiki></code> gives ''{{x = ί}, {x = -ί}}'', the solutions of ''x<sup>2</sup> = 1''.</div>}} | ||
| − | ; | + | ;CSolve[ <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>CSolve[{y^2 = x- 1, x = 2 * y - 1}, {x, y}]</nowiki></code> gives ''<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> gives ''<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 13:31, 4 August 2011
This command works in CAS View only.
- CSolve[ <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:
CSolve[x^2 = 1]gives {{x = ί}, {x = -ί}}, the solutions of x2 = 1.
- CSolve[ <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:
CSolve[{y^2 = x- 1, x = 2 * y - 1}, {x, y}]gives {{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 Complex Command.
- See also CSolutions Command and Solve Command.
