Difference between revisions of "Solve Command"
From GeoGebra Manual
(<code> Solve[TrigExpand[sin(5/4 π+x)-cos(x-3/4 π)=sqrt(6) * cos(x)-sqrt(2)]] </code>) |
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* 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. | * 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. | ||
− | * Sometimes you need to do some manipulation to allow the automatic solver to work, for example <code> Solve[TrigExpand[sin(5/4 π+x)-cos(x-3/4 π)=sqrt(6) * cos(x)-sqrt(2)]] </code> | + | * Sometimes you need to do some manipulation to allow the automatic solver to work, for example <code> Solve[TrigExpand[sin(5/4 π + x) - cos(x - 3/4 π) = sqrt(6) * cos(x) - sqrt(2)]] </code> |
* See also [[Solutions Command]].}} | * See also [[Solutions Command]].}} |
Revision as of 08:25, 24 May 2013
CAS Syntax
- Solve[ <Equation in x> ]
- 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 solutions.
- Example:
Solve[x * a^2 = 4a, a]
yields \{a = \frac{4}{x}, a = 0\}, the solutions of xa2 = 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 = 2Solve[{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.
- Sometimes you need to do some manipulation to allow the automatic solver to work, for example
Solve[TrigExpand[sin(5/4 π + x) - cos(x - 3/4 π) = sqrt(6) * cos(x) - sqrt(2)]]
- See also Solutions Command.