Difference between revisions of "Solutions Command"
From GeoGebra Manual
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: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>}} | ||
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;Solutions[ <Equation>, <Variable> ] | ;Solutions[ <Equation>, <Variable> ] | ||
| − | :Solves an equation for a given unknown variable and returns a list of all | + | :Solves an equation for a given unknown variable and returns a list of all solutions. |
| − | :{{example|1=<div><code><nowiki>Solutions[x * a^2 = 4a, a]</nowiki></code> yields <math>\{\frac{4}{x},0\}</math>, the solutions of '' | + | :{{example|1=<div><code><nowiki>Solutions[x * a^2 = 4a, a]</nowiki></code> yields <math>\{\frac{4}{x},0\}</math>, the solutions of ''xa<sup>2</sup> = 4a''.</div>}} |
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;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. | ||
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-3&6 | -3&6 | ||
\end{pmatrix}</math>.</div>}} | \end{pmatrix}</math>.</div>}} | ||
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{{note|See also [[Solve Command]].}} | {{note|See also [[Solve Command]].}} | ||
Revision as of 13:59, 26 March 2013
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 solutions.
- Example:
Solutions[x * a^2 = 4a, a]yields \{\frac{4}{x},0\}, the solutions of xa2 = 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.
