Solutions Command
From GeoGebra Manual
Note: Starting from version 823 this command behaves as Solve command, except for the format of the result: command Solutions returns a list of values, while command Solve returns a list of equations in the form variable name = value.
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}-3&6\\0&3\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