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 '' | + | :{{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. | ||
− | :{{Example|1=<div><code><nowiki>CSolutions[{y^2 = x- 1, x = 2 * y - 1}, {x, y}]</nowiki></code> gives | + | :{{Example|1=<div><code><nowiki>CSolutions[{y^2 = x- 1, x = 2 * y - 1}, {x, y}]</nowiki></code> gives <math>\begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - ί\end{pmatrix}</math>, 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. See also [[Complex Command]]. | *The complex ί is obtained by pressing ALT + i. See also [[Complex Command]]. | ||
*See also [[CSolve Command]] and [[Solutions Command]]. | *See also [[CSolve Command]] and [[Solutions Command]]. | ||
</div>}} | </div>}} |
Revision as of 13:10, 11 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 x2 = -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 \begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - ί\end{pmatrix}, 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 CSolve Command and Solutions Command.