Difference between revisions of "CSolve Command"

Latest revision as of 10:47, 12 October 2017

CAS Syntax

CSolve( <Equation> ): Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions.; Example: CSolve(x^2 = -1) yields {x = ί, x = -ί}, the complex solutions of x² = -1.

CSolve( <Equation>, <Variable> ): Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.; Example: CSolve(a^2 = -1, a) yields {a = ί, a = -ί}, the complex solutions of a² = -1.

CSolve( <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: CSolve({y^2 = x - 1, x = 2 * y - 1}, {x, y}) yields {{x = 1 - 2 ί, y = 1 + ί}, {x = 1 + 2 ί, y = 1 - ί}}, the complex solutions of y² = x and x = 2 * y - 1.

Notes:

The complex ί is obtained by pressing ALT + i.
See also CSolutions Command and Solve Command.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.0}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|geogebra}}
-{{command|CAS}}
+==CAS Syntax==
-;CSolve[ <Equation> ]
+;CSolve( <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 for the main variable and returns a list of all solutions, allowing for complex solutions.
-:{{Example|1=<div><code><nowiki>CSolve[x^2 = 1]</nowiki></code> gives ''{{x = ί}, {x = -ί}}'', the solutions of ''x<sup>2</sup> = 1''.</div>}}
+:{{example|1=<code><nowiki>CSolve(x^2 = -1)</nowiki></code> yields ''{x = ί, x = -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.}}
-;CSolve[ <Equation>, <Variable> ]
+;CSolve( <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 for a given unknown variable and returns a list of all solutions, allowing for complex solutions.
-:{{Example|1=<div><code><nowiki>CSolve[{y^2 = x- 1, x = 2 * y - 1}, {x, y}]</nowiki></code> gives ''<nowiki>{{x = 1 + 2 ί, y = 1 + ί}, {x = 1 - 2 ί, y = 1 - ί}}</nowiki>'', the complex solutions of ''y<sup>2</sup> = x'' and ''x = 2 * y - 1''.</div>}}
+:{{example|1=<code><nowiki>CSolve(a^2 = -1, a)</nowiki></code> yields ''<nowiki>{a = ί, a = -ί}</nowiki>'', the complex solutions of ''a<sup>2</sup> = -1''.}}
-{{note| 1=<div>
+;CSolve( &lt;List of Equations>, &lt;List of Variables> )
-*The complex ί is obtained by pressing ALT + i.
+: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=<code><nowiki>CSolve({y^2 = x - 1, x = 2 * y - 1}, {x, y})</nowiki></code> yields ''<nowiki>{{x = 1 - 2 ί, y = 1 + ί}, {x = 1 + 2 ί, y = 1 - ί}}</nowiki>'', the complex solutions of ''y<sup>2</sup> = x'' and ''x = 2 * y - 1''.}}
+{{notes| 1=<div>
+*The complex ί is obtained by pressing {{KeyCode|ALT + i}}.
 *See also [[CSolutions Command]] and [[Solve Command]].
 </div>}}

Difference between revisions of "CSolve Command"

Latest revision as of 10:47, 12 October 2017

CSolve

Command Categories (All commands)

CAS Syntax