Difference between revisions of "Solve Command"

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:{{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> ]
 
;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.
+
:Solves an equation for a given unknown variable 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>}}  
+
:{{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>}} ;Solve[ <Equation>, <Variable> ]
{{Note|See also [[Solutions Command]].}}
+
:Solves a set of equations for a given set of unknown 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[{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]].}}

Revision as of 10:56, 19 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 for a given unknown variable 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}}.
;Solve[ <Equation>, <Variable> ]
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}] 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.
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