Difference between revisions of "Solve Command"

Revision as of 15:26, 3 August 2011

This command works in CAS View only.

Solve[ <Equation> ]: Solves a given equation (or a set of equations) 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 (or a set of equations) for a given unknown variable (or set of variables) and returns a list of all solutions.; Example:
Solve[{x = 4 x + y , y + x = 2}, {x, y}] gives {{x = -1, y = 3}}, the sole solution of x = 4x + y and y + x = 2.

Note: See also Solutions Command.

@@ Line 1: / Line 1: @@
 <noinclude>{{Manual Page|version=4.0}}</noinclude>
 {{command|CAS}}
-;Solve[ <Equation> ]: Solves a given equation (or a set of equations) for the variable x.
+;Solve[ <Equation> ]
+:Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions.
-;Solve[ <Equation>, <Variable> ]: Solves an equation (or a set of equations) for a given unknown variable (or set of variables).
+: {{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> ]
-: {{Example|1=&nbsp;
+:Solves an equation (or a set of equations) for a given unknown variable (or set of variables) and returns a list of all solutions.
-:* <code>Solve[x^2 = 4x]</code> gives you "{x = 4, x = 0}".
+: {{Example|1=<div><code><nowiki>Solve[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''<nowiki>{{x = -1, y = 3}}</nowiki>'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}}
-:* <code>Solve[{x = 4 x + y , y+x = 2}, {x, y}]</code> gives you "{ {x = -1, y = 3} }".}}
+{{Note|See also [[Solutions Command]].}}