Difference between revisions of "Solutions Command"
From GeoGebra Manual
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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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:* <code><nowiki>Solutions[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> yields ''{{-1, 3}}'', the sole solution of ''x = 4x + y'' and ''y + x = 2'', displayed as <math>\begin{pmatrix} | :* <code><nowiki>Solutions[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> yields ''{{-1, 3}}'', the sole solution of ''x = 4x + y'' and ''y + x = 2'', displayed as <math>\begin{pmatrix} | ||
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Revision as of 20:44, 19 December 2012
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This page is about a feature that is supported only in GeoGebra 4.2. |
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.
