# Difference between revisions of "CSolutions Command"

From GeoGebra Manual

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{{command|CAS}} | {{command|CAS}} | ||

;CSolutions[ <Equation> ] | ;CSolutions[ <Equation> ] | ||

− | :Solves a given equation for the variable | + | :Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions. |

:{{example|1=<div><code><nowiki>CSolutions[x^2 = -1]</nowiki></code> yields ''{ί, -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.</div>}} | :{{example|1=<div><code><nowiki>CSolutions[x^2 = -1]</nowiki></code> yields ''{ί, -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.</div>}} | ||

;CSolutions[ <Equation>, <Variable> ] | ;CSolutions[ <Equation>, <Variable> ] |

## Revision as of 12:10, 7 October 2011

This command works in CAS View only.

- CSolutions[ <Equation> ]
- Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions.
**Example:**`CSolutions[x^2 = -1]`

yields*{ί, -ί}*, the complex solutions of*x*.^{2}= -1

- CSolutions[ <Equation>, <Variable> ]
- Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.
**Example:**`CSolutions[a^2 = -1, a]`

yields*{ί, -ί}*, the complex solutions of*a*.^{2}= -1

- CSolutions[ <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:**`CSolutions[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]`

yields \begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - ί\end{pmatrix},

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

**Note:**

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