Difference between revisions of "Solutions Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
{{command|CAS}}
 
{{command|CAS}}
;Solutions[ <Equation> ]: Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions.
+
;Solutions[ <Equation> ]
: {{Example|1=<div><code><nowiki>Solutions[x^2 = 4x]</nowiki></code> gives ''{{4}, {0}}'', the solutions of ''x<sup>2</sup> = 4x''.</div>}}
+
:Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions.
;Solutions[ <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.
+
:{{Example|1=<div><code><nowiki>Solutions[x^2 = 4x]</nowiki></code> gives ''{{4}, {0}}'', the solutions of ''x<sup>2</sup> = 4x''.</div>}}
: {{Example|1=<div><code><nowiki>Solutions[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''{ {-1, 3} }'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}}
+
;Solutions[ <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.
 +
:{{Example|1=<div><code><nowiki>Solutions[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''{ {-1, 3} }'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}}
 
{{Note|See also [[Solve Command]].}}
 
{{Note|See also [[Solve Command]].}}

Revision as of 14:27, 3 August 2011


This command works in CAS View only.

Solutions[ <Equation> ]
Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions.
Example:
Solutions[x^2 = 4x] gives {{4}, {0}}, the solutions of x2 = 4x.
Solutions[ <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.
Example:
Solutions[{x = 4 x + y , y + x = 2}, {x, y}] gives { {-1, 3} }, the sole solution of x = 4x + y and y + x = 2.
Note: See also Solve Command.
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