Difference between revisions of "CSolve Command"
From GeoGebra Manual
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;CSolve[ <Equation> ] | ;CSolve[ <Equation> ] | ||
:Solves a given equation for the variable x and returns a list of all solutions, allowing for complex solutions. | :Solves a given equation for the variable x and returns a list of all solutions, allowing for complex solutions. | ||
| − | :{{example|1=<div><code><nowiki>CSolve[x^2 = -1]</nowiki></code> | + | :{{example|1=<div><code><nowiki>CSolve[x^2 = -1]</nowiki></code> yields ''{x = ί, x = -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.</div>}} |
;CSolve[ <Equation>, <Variable> ] | ;CSolve[ <Equation>, <Variable> ] | ||
:Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions. | :Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions. | ||
| − | :{{example|1=<div><code><nowiki>CSolve[a^2 = -1, a]</nowiki></code> | + | :{{example|1=<div><code><nowiki>CSolve[a^2 = -1, a]</nowiki></code> yields ''<nowiki>{a = ί, a = -ί}</nowiki>'', the complex solutions of ''a<sup>2</sup> = -1''.</div>}} |
;CSolve[ <List of Equations>, <List of Variables> ] | ;CSolve[ <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, allowing for complex solutions. | :Solves a set of equations for a given set of unknown variables and returns a list of all solutions, allowing for complex solutions. | ||
| − | :{{example|1=<div><code><nowiki>CSolve[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]</nowiki></code> | + | :{{example|1=<div><code><nowiki>CSolve[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]</nowiki></code> yields ''<nowiki>{{x = 1 + 2 ί, y = 1 + ί}, {x = 1 - 2 ί, y = 1 - ί}}</nowiki>'', the complex solutions of ''y<sup>2</sup> = x'' and ''x = 2 * y - 1''.</div>}} |
{{note| 1=<div> | {{note| 1=<div> | ||
*The complex ί is obtained by pressing {{KeyCode|ALT + i}}. | *The complex ί is obtained by pressing {{KeyCode|ALT + i}}. | ||
*See also [[CSolutions Command]] and [[Solve Command]]. | *See also [[CSolutions Command]] and [[Solve Command]]. | ||
</div>}} | </div>}} | ||
Revision as of 11:40, 7 September 2011
This command works in CAS View only.
- CSolve[ <Equation> ]
- Solves a given equation for the variable x and returns a list of all solutions, allowing for complex solutions.
- Example:
CSolve[x^2 = -1]yields {x = ί, x = -ί}, the complex solutions of x2 = -1.
- CSolve[ <Equation>, <Variable> ]
- Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.
- Example:
CSolve[a^2 = -1, a]yields {a = ί, a = -ί}, the complex solutions of a2 = -1.
- CSolve[ <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, allowing for complex solutions.
- Example:
CSolve[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]yields {{x = 1 + 2 ί, y = 1 + ί}, {x = 1 - 2 ί, y = 1 - ί}}, the complex solutions of y2 = x and x = 2 * y - 1.
Note:
- The complex ί is obtained by pressing ALT + i.
- See also CSolutions Command and Solve Command.
