# Difference between revisions of "CSolve Command"

From GeoGebra Manual

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:{{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>}} | ||

{{note| 1=<div> | {{note| 1=<div> | ||

− | *The complex ί is obtained by pressing ALT + i. | + | *The complex ί is obtained by pressing {{KeyCode|ALT + i}}. |

*See also [[CSolutions Command]] and [[Solve Command]]. | *See also [[CSolutions Command]] and [[Solve Command]]. | ||

</div>}} | </div>}} |

## Revision as of 13:30, 22 August 2011

This command works in CAS View only.

- CSolve[ <Equation> ]
- Solves a given equation 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 complex solutions of*x*.^{2}= -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]`

gives*{a = ί, a = -ί}*, the complex solutions of*a*.^{2}= -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}]`

gives*{{x = 1 + 2 ί, y = 1 + ί}, {x = 1 - 2 ί, y = 1 - ί}}*, the complex solutions of*y*and^{2}= x*x = 2 * y - 1*.

**Note:**

- The complex ί is obtained by pressing ALT + i.
- See also CSolutions Command and Solve Command.