Difference between revisions of "Solutions Command"
From GeoGebra Manual
Noel Lambert (talk | contribs) |
|||
Line 6: | Line 6: | ||
;Solutions[ <Equation>, <Variable> ] | ;Solutions[ <Equation>, <Variable> ] | ||
:Solves an equation for a given unknown variable and returns a list of all solution. | :Solves an equation for a given unknown variable and returns a list of all solution. | ||
− | :{{example|1=<div><code><nowiki>Solutions[x * a^2 = 4a, a]</nowiki></code> yields <math>\{\frac{4}{x}\}</math>, the | + | :{{example|1=<div><code><nowiki>Solutions[x * a^2 = 4a, a]</nowiki></code> yields <math>\{\frac{4}{x},0\}</math>, the solutions of ''x a<sup>2</sup> = 4a''.</div>}} |
;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. |
Revision as of 16:00, 19 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, andSolutions[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]
yields \left (\begin{array}{cc} 0&3\\ -3&6\\ \end{array}\right).
Note: See also Solve Command.