Difference between revisions of "Solutions Command"
From GeoGebra Manual
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;Solutions[ <Equation> ] | ;Solutions[ <Equation> ] | ||
:Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions. | :Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions. | ||
− | :{{Example|1=<div><code><nowiki>Solutions[x^2 = 4x]</nowiki></code> returns'' | + | :{{Example|1=<div><code><nowiki>Solutions[x^2 = 4x]</nowiki></code> returns''{4, 0}'', the solutions of ''x<sup>2</sup> = 4x''.</div>}} |
− | |||
;Solutions[ <Equation>, <Variable> ] | ;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. | :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 '' | + | :{{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[ | + | :{{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>) .</div>}} |
{{Note|See also [[Solve Command]].}} | {{Note|See also [[Solve Command]].}} |
Revision as of 10:51, 10 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 (\begin{array}{cc} 0&3\\ -3&6\\ \end{array}) .
Note: See also Solve Command.