Difference between revisions of "Solve Command"
From GeoGebra Manual
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:Solves an equation for a given unknown variable and returns a list of all solutions. | :Solves an equation for a given unknown variable and returns a list of all solutions. | ||
:{{example|1=<div><code><nowiki>Solve[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''<nowiki>(x = -1 y = 3)</nowiki>'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}} | :{{example|1=<div><code><nowiki>Solve[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''<nowiki>(x = -1 y = 3)</nowiki>'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}} | ||
| − | :{{example|1=<div><code><nowiki>Solve[{2a^2+5a+3=b, a+b=3},{a,b}]</nowiki></code> returns {{a = 0, b = 3}, {a = -3, b = 6}}.</div>}} ;Solve[ < | + | :{{example|1=<div><code><nowiki>Solve[{2a^2+5a+3=b, a+b=3},{a,b}]</nowiki></code> returns {{a = 0, b = 3}, {a = -3, b = 6}}.</div>}} |
| + | ;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. | :Solves a set of equations for a given set of unknown variables and returns a list of all solutions. | ||
:{{example|1=<div><code><nowiki>Solve[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''<nowiki>(x = -1 y = 3)</nowiki>'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}} | :{{example|1=<div><code><nowiki>Solve[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''<nowiki>(x = -1 y = 3)</nowiki>'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}} | ||
:{{example|1=<div><code><nowiki>Solve[{2a^2+5a+3=b, a+b=3},{a,b}]</nowiki></code> returns {{a = 0, b = 3}, {a = -3, b = 6}}.</div>}} | :{{example|1=<div><code><nowiki>Solve[{2a^2+5a+3=b, a+b=3},{a,b}]</nowiki></code> returns {{a = 0, b = 3}, {a = -3, b = 6}}.</div>}} | ||
{{note|See also [[Solutions Command]].}} | {{note|See also [[Solutions Command]].}} | ||
Revision as of 10:56, 19 August 2011
This command works in CAS View only.
- Solve[ <Equation> ]
- Solves a given equation (or a set of equations) 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}]gives (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}]returns {{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}]gives (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}]returns {{a = 0, b = 3}, {a = -3, b = 6}}.
Note: See also Solutions Command.
