Difference between revisions of "Solve Command"
From GeoGebra Manual
Line 2: | Line 2: | ||
{{command|CAS}} | {{command|CAS}} | ||
;Solve[ <Equation> ] | ;Solve[ <Equation> ] | ||
− | :Solves a given equation | + | :Solves a given equation for the variable x and returns a list of all solutions. |
:{{Example|1=<div><code><nowiki>Solve[x^2 = 4x]</nowiki></code> gives ''{x = 4, x = 0}'', the solutions of ''x<sup>2</sup> = 4x''.</div>}} | :{{Example|1=<div><code><nowiki>Solve[x^2 = 4x]</nowiki></code> gives ''{x = 4, x = 0}'', the solutions of ''x<sup>2</sup> = 4x''.</div>}} | ||
;Solve[ <Equation>, <Variable> ] | ;Solve[ <Equation>, <Variable> ] |
Revision as of 11:00, 19 August 2011
This command works in CAS View only.
- Solve[ <Equation> ]
- Solves a given equation for the variable x and returns a list of all solutions.
- Example:
Solve[x^2 = 4x]
gives {x = 4, x = 0}, the solutions of x2 = 4x.
- Solve[ <Equation>, <Variable> ]
- Solves an equation for a given unknown variable and returns a list of all solutions.
- Example:
Solve[{x = 4 x + y , y + x = 2}, {x, y}]
yields (x = -1 y = 3), the sole solution of x = 4x + y and y + x = 2.
- Example:
Solve[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]
yields {{a = 0, b = 3}, {a = -3, b = 6}}.
- Solve[ <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:
Solve[{x = 4 x + y , y + x = 2}, {x, y}]
yields (x = -1 y = 3), the sole solution of x = 4x + y and y + x = 2.
- Example:
Solve[{2a^2+5a+3=b, a+b=3},{a,b}]
yields {{a = 0, b = 3}, {a = -3, b = 6}}.
Note: See also Solutions Command.