Difference between revisions of "CSolutions Command"

Revision as of 15:24, 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 - 1 and x = 2 * y - 1.

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 ;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|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>}}
+:{{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 - 1'' and ''x = 2 * y - 1''.</div>}}
 {{note| 1=<div>
 *The complex ί is obtained by pressing ALT + i. See also [[Complex Command]].
 *See also [[CSolve Command]] and [[Solutions Command]].
 </div>}}