Difference between revisions of "CSolutions Command"
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|geogebra}} |
− | {{command| | + | ==CAS Syntax== |
− | ;CSolutions | + | ;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= | + | :{{example|1=<code><nowiki>CSolutions(x^2 = -1)</nowiki></code> yields ''{ί, -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.}} |
− | ;CSolutions | + | ;CSolutions( <Equation>, <Variable> ) |
:Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions. | :Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions. | ||
− | :{{example|1= | + | :{{example|1=<code><nowiki>CSolutions(a^2 = -1, a)</nowiki></code> yields ''<nowiki>{ί, -ί}</nowiki>'', the complex solutions of ''a<sup>2</sup> = -1''.}} |
− | ;CSolutions | + | ;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. | :Solves a set of equations for a given set of unknown variables and returns a list of all solutions, allowing for complex solutions. | ||
− | :{{example|1= | + | :{{example|1=<code><nowiki>CSolutions({y^2 = x - 1, x = 2 * y - 1}, {x, y})</nowiki></code> yields <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 - 1'' and ''x = 2 * y - 1''.}} |
− | {{ | + | {{notes| 1=<div> |
*The complex ί is obtained by pressing {{KeyCode|ALT + i}}. | *The complex ί is obtained by pressing {{KeyCode|ALT + i}}. | ||
*See also [[CSolve Command]] and [[Solutions Command]]. | *See also [[CSolve Command]] and [[Solutions Command]]. | ||
</div>}} | </div>}} |
Latest revision as of 10:46, 12 October 2017
CAS Syntax
- 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 x2 = -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 a2 = -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 y2 = x - 1 and x = 2 * y - 1.
Notes:
- The complex ί is obtained by pressing ALT + i.
- See also CSolve Command and Solutions Command.