Difference between revisions of "Solve Command"

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: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>
 
:{{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'' and
+
* <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'', and
 
* <code><nowiki>Solve[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]</nowiki></code> yields ''{{a = 0, b = 3}, {a = -3, b = 6}}''.
 
* <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>}}  
 
</div>}}  
 
{{note|See also [[Solutions Command]].}}
 
{{note|See also [[Solutions Command]].}}

Revision as of 11:36, 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] yields {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, a] yields \{a = \frac{4}{x}\}, the solution of 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, and
  • 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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