Difference between revisions of "Solve Command"

Revision as of 11:20, 10 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.

Example:

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

Note: See also Solutions Command.

@@ Line 3: / Line 3: @@
 ;Solve[ <Equation> ]
 :Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions.
-:{{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>}}
+:{{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 (or a set of equations) for a given unknown variable (or set of variables) and returns a list of all solutions.
-:{{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>}}
+:{{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>}}
+:{{Example|1=<div><code><nowiki>Solve[{2a^2+5a+3=b, a+b=3},{a,b}]</nowiki></code> returns {{a = 0, b = 3}, {a = -3, b = 6}}.</div>}}
 {{Note|See also [[Solutions Command]].}}