Difference between revisions of "Solutions Command"
From GeoGebra Manual
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:Solves an equation (or a set of equations) for a given unknown variable (or set of variables) and returns a list of all solutions. | :Solves an equation (or a set of equations) for a given unknown variable (or set of variables) and returns a list of all solutions. | ||
:{{Example|1=<div><code><nowiki>Solutions[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''( -1 3 )'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}} | :{{Example|1=<div><code><nowiki>Solutions[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''( -1 3 )'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}} | ||
| − | :{{Example|1=<div><code><nowiki>Solutions[{2a^2+5a+3=b, a+b=3},{a,b}]</nowiki></code> returns <math>(\begin{array}{cc} 0&3\\ -3&6\\ \end{array}</math> | + | :{{Example|1=<div><code><nowiki>Solutions[{2a^2+5a+3=b, a+b=3},{a,b}]</nowiki></code> returns <math>\left (\begin{array}{cc} 0&3\\ -3&6\\ \end{array}\right)</math> , the two solutions {0,3} and {-3,6}.</div>}} |
{{Note|See also [[Solve Command]].}} | {{Note|See also [[Solve Command]].}} | ||
Revision as of 10:46, 11 August 2011
This command works in CAS View only.
- Solutions[ <Equation> ]
- Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions.
- Example:
Solutions[x^2 = 4x]returns{4, 0}, the solutions of x2 = 4x.
- Solutions[ <Equation>, <Variable> ]
- Solves an equation (or a set of equations) for a given unknown variable (or set of variables) and returns a list of all solutions.
- Example:
Solutions[{x = 4 x + y , y + x = 2}, {x, y}]gives ( -1 3 ), the sole solution of x = 4x + y and y + x = 2.
- Example:
Solutions[{2a^2+5a+3=b, a+b=3},{a,b}]returns \left (\begin{array}{cc} 0&3\\ -3&6\\ \end{array}\right) , the two solutions {0,3} and {-3,6}.
Note: See also Solve Command.
