Difference between revisions of "CSolve Command"
From GeoGebra Manual
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:{{example|1=<div><code><nowiki>CSolve[{y^2 = x- 1, x = 2 * y - 1}, {x, y}]</nowiki></code> gives ''<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>}} | :{{example|1=<div><code><nowiki>CSolve[{y^2 = x- 1, x = 2 * y - 1}, {x, y}]</nowiki></code> gives ''<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 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 13:30, 22 August 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]gives {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]gives {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}]gives {{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.
