# Difference between revisions of "CSolutions Command"

From GeoGebra Manual

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;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. | :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>}} | + | :{{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. | :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. |

## Revision as of 08:15, 8 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*x*.^{2}= -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*y*and^{2}= x*x = 2 * y - 1*.

**Note:**

- The complex ί is obtained by pressing ALT + i. See also Complex Command.
- See also CSolve Command and Solutions Command.