Difference between revisions of "CSolve Command"
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;CSolve( <Equation> ) | ;CSolve( <Equation> ) | ||
:Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions. | :Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions. | ||
− | :{{example|1= | + | :{{example|1=<code><nowiki>CSolve(x^2 = -1)</nowiki></code> yields ''{x = ί, x = -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.}} |
;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= | + | :{{example|1=<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''.}} |
;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= | + | :{{example|1=<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''.}} |
− | {{ | + | {{notes| 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>}} |
Latest revision as of 10:47, 12 October 2017
CAS Syntax
- CSolve( <Equation> )
- Solves a given equation for the main variable 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.
Notes:
- The complex ί is obtained by pressing ALT + i.
- See also CSolutions Command and Solve Command.