Difference between revisions of "CSolutions Command"

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:{{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>,<br/> the complex solutions of ''y<sup>2</sup> = x - 1'' and ''x = 2 * y - 1''.</div>}}
 
:{{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>,<br/> the complex solutions of ''y<sup>2</sup> = x - 1'' 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 [[CSolve Command]] and [[Solutions Command]].
 
*See also [[CSolve Command]] and [[Solutions Command]].
 
</div>}}
 
</div>}}

Revision as of 13:35, 22 August 2011


This command works in CAS View only.

CSolutions[ <Equation> ]
Solves a given equation for the variable x and returns a list of all solutions, allowing for complex solutions.
Example:
CSolutions[x^2 = -1] gives {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] gives {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}] gives \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.
Note:
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