Difference between revisions of "Solutions Command"
From GeoGebra Manual
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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}-1&3\end{pmatrix}</math>. | :* <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}-1&3\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 ''{{-3, 6}, {0, 3}}'', displayed as <math>\begin{pmatrix}0&3\\-3&6\end{pmatrix}</math>.</div>}} |
:{{note|1= | :{{note|1= | ||
:* Sometimes you need to do some manipulation to allow the automatic solver to work, for example <code> Solutions[TrigExpand[sin(5/4 π + x) - cos(x - 3/4 π) = sqrt(6) * cos(x) - sqrt(2)]] </code> | :* Sometimes you need to do some manipulation to allow the automatic solver to work, for example <code> Solutions[TrigExpand[sin(5/4 π + x) - cos(x - 3/4 π) = sqrt(6) * cos(x) - sqrt(2)]] </code> | ||
:* See also [[Solve Command]].}} | :* See also [[Solve Command]].}} | ||
Revision as of 10:31, 29 July 2015
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 {0, 4}, 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 {{-3, 6}, {0, 3}}, displayed as \begin{pmatrix}0&3\\-3&6\end{pmatrix}.
- Note:
- Sometimes you need to do some manipulation to allow the automatic solver to work, for example
Solutions[TrigExpand[sin(5/4 π + x) - cos(x - 3/4 π) = sqrt(6) * cos(x) - sqrt(2)]] - See also Solve Command.
- Sometimes you need to do some manipulation to allow the automatic solver to work, for example
