Difference between revisions of "Solutions Command"
From GeoGebra Manual
| Line 13: | Line 13: | ||
-1&3 | -1&3 | ||
\end{pmatrix}</math>. | \end{pmatrix}</math>. | ||
| − | :* <code><nowiki>Solutions[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]</nowiki></code> yields '' | + | :* <code><nowiki>Solutions[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]</nowiki></code> yields ''{{0, 3}, {-3, 6}}'', displayed as <math>\begin{pmatrix} |
0&3\\ | 0&3\\ | ||
-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 14:10, 25 August 2011
This command works in CAS View only.
- Solutions[ <Equation> ]
- Solves a given equation for the variable x 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.
- Example:
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.
