Difference between revisions of "Solve Command"

Revision as of 11:23, 19 August 2011

This command works in CAS View only.

Solve[ <Equation> ]: Solves a given equation for the variable x and returns a list of all solutions.; Example:
Solve[x^2 = 4x] gives {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] yields \{a = \frac{4}{x}\}.

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.; Example:
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.

Example:

Solve[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}] yields {{a = 0, b = 3}, {a = -3, b = 6}}.

Note: See also Solutions Command.

@@ Line 5: / Line 5: @@
 :{{example|1=<div><code><nowiki>Solve[x^2 = 4x]</nowiki></code> gives ''{x = 4, x = 0}'', the solutions of ''x<sup>2</sup> = 4x''.</div>}}
 ;Solve[ <Equation>, <Variable> ]
-:Solves an equation for a given unknown variable and returns a list of all solutions.
+:Solves an equation for a given unknown variable and returns a list of all solution.
-:{{example|1=<div><code><nowiki>Solve[x * a^2 = 4a]</nowiki></code> gives <math>\{a = \frac{4}{x}\}</math>, the solutions of ''Solve[x * a<sup>2</sup> = 4a]''.</div>}}
+:{{example|1=<div><code><nowiki>Solve[x * a^2 = 4a]</nowiki></code> yields <math>\{a = \frac{4}{x}\}</math>.</div>}}
 ;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.