Difference between revisions of "Solve Command"

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;Solve[ <List of Equations>, <List of Variables> ]
 
;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.
 
: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> yields ''<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> yields ''<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> yields {{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> yields ''{{a = 0, b = 3}, {a = -3, b = 6}}''.</div>}}  
 
{{note|See also [[Solutions Command]].}}
 
{{note|See also [[Solutions Command]].}}

Revision as of 11:20, 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 solutions.
Example:
Solve[x * a^2 = 4a] gives \{a = \frac{4}{x}\}, the solutions of Solve[x * a2 = 4a].
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.
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