Difference between revisions of "Solve Command"
From GeoGebra Manual
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;Solve[ <List of Equations>, <List of Variables> ] | ;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. | ||
− | :{{ | + | :{{examples|1=<div> |
:* <code><nowiki>Solve[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> yields ''<nowiki>{{x = -1, y = 3}}</nowiki>'', the sole solution of ''x = 4x + y'' and ''y + x = 2'', and | :* <code><nowiki>Solve[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> yields ''<nowiki>{{x = -1, y = 3}}</nowiki>'', the sole solution of ''x = 4x + y'' and ''y + x = 2'', and | ||
:* <code><nowiki>Solve[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]</nowiki></code> yields ''{{a = 0, b = 3}, {a = -3, b = 6}}''.</div>}} | :* <code><nowiki>Solve[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]</nowiki></code> yields ''{{a = 0, b = 3}, {a = -3, b = 6}}''.</div>}} |
Revision as of 20:43, 19 December 2012
This page is about a feature that is supported only in GeoGebra 4.2. |
CAS Syntax
- Solve[ <Equation> ]
- Solves a given equation for the main variable and returns a list of all solutions.
- Example:
Solve[x^2 = 4x]
yields {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 solution.
- Example:
Solve[x * a^2 = 4a, a]
yields \{a = \frac{4}{x}, a = 0\}, the solutions of x a2 = 4a.
- 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.
- Examples:
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, andSolve[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]
yields {{a = 0, b = 3}, {a = -3, b = 6}}.
Note:
- The right hand side of equations (in any of the above syntaxes) can be omitted. If the right hand side is missing, it is treated as 0.
- See also Solutions Command.