Difference between revisions of "Solutions Command"
From GeoGebra Manual
m (typo) |
|||
Line 1: | Line 1: | ||
− | <noinclude>{{Manual Page|version=4.2}}</noinclude> | + | <noinclude>{{Manual Page|version=4.2}}</noinclude> |
{{command|geogebra}} | {{command|geogebra}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
Line 5: | Line 5: | ||
:Solves a given equation for the main variable and returns a list of all solutions. | :Solves a given equation for the main variable and returns a list of all solutions. | ||
:{{example|1=<div><code><nowiki>Solutions[x^2 = 4x]</nowiki></code> yields ''{4, 0}'', the solutions of ''x<sup>2</sup> = 4x''.</div>}} | :{{example|1=<div><code><nowiki>Solutions[x^2 = 4x]</nowiki></code> yields ''{4, 0}'', the solutions of ''x<sup>2</sup> = 4x''.</div>}} | ||
+ | |||
;Solutions[ <Equation>, <Variable> ] | ;Solutions[ <Equation>, <Variable> ] | ||
:Solves an equation for a given unknown variable and returns a list of all solution. | :Solves an equation for a given unknown variable and returns a list of all solution. | ||
:{{example|1=<div><code><nowiki>Solutions[x * a^2 = 4a, a]</nowiki></code> yields <math>\{\frac{4}{x},0\}</math>, the solutions of ''x a<sup>2</sup> = 4a''.</div>}} | :{{example|1=<div><code><nowiki>Solutions[x * a^2 = 4a, a]</nowiki></code> yields <math>\{\frac{4}{x},0\}</math>, the solutions of ''x a<sup>2</sup> = 4a''.</div>}} | ||
+ | |||
;Solutions[ <List of Equations>, <List of Variables> ] | ;Solutions[ <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. | :Solves a set of equations for a given set of unknown variables and returns a list of all solutions. | ||
Line 18: | Line 20: | ||
-3&6 | -3&6 | ||
\end{pmatrix}</math>.</div>}} | \end{pmatrix}</math>.</div>}} | ||
+ | |||
{{note|See also [[Solve Command]].}} | {{note|See also [[Solve Command]].}} |
Revision as of 10:46, 21 December 2012
CAS Syntax
- Solutions[ <Equation> ]
- Solves a given equation for the main variable and returns a list of all solutions.
- Example:
Solutions[x^2 = 4x]
yields {4, 0}, the solutions of x2 = 4x.
- Solutions[ <Equation>, <Variable> ]
- Solves an equation for a given unknown variable and returns a list of all solution.
- Example:
Solutions[x * a^2 = 4a, a]
yields \{\frac{4}{x},0\}, the solutions of x a2 = 4a.
- Solutions[ <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.
- Examples:
Solutions[{x = 4 x + y , y + x = 2}, {x, y}]
yields {{-1, 3}}, the sole solution of x = 4x + y and y + x = 2, displayed as \begin{pmatrix} -1&3 \end{pmatrix}.Solutions[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]
yields {{0, 3}, {-3, 6}}, displayed as \begin{pmatrix} 0&3\\ -3&6 \end{pmatrix}.
Note: See also Solve Command.