Difference between revisions of "Solutions Command"

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;Solutions[ <Equation>, <Variable> ]
 
;Solutions[ <Equation>, <Variable> ]
 
:Solves an equation for a given unknown variable and returns a list of all solution.
 
:Solves an equation for a given unknown variable and returns a list of all solution.
:{{example|1=<div><code><nowiki>Solutions[x * a^2 = 4a, a]</nowiki></code> yields <math>\{\frac{4}{x}\}</math>, the solution of ''x a<sup>2</sup> = 4a''.</div>}}
+
:{{example|1=<div><code><nowiki>Solutions[x * a^2 = 4a, a]</nowiki></code> yields <math>\{\frac{4}{x},0\}</math>, the solutions of ''x a<sup>2</sup> = 4a''.</div>}}
 
;Solutions[ <List of Equations>, <List of Variables> ]
 
;Solutions[ <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.

Revision as of 16:00, 19 August 2011


This command works in CAS View only.

Solutions[ <Equation> ]
Solves a given equation for the variable x and returns a list of all solutions.
Example:
Solutions[x^2 = 4x] yields {4, 0}, the solutions of x2 = 4x.
Solutions[ <Equation>, <Variable> ]
Solves an equation for a given unknown variable and returns a list of all solution.
Example:
Solutions[x * a^2 = 4a, a] yields \{\frac{4}{x},0\}, the solutions of x a2 = 4a.
Solutions[ <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:
  • Solutions[{x = 4 x + y , y + x = 2}, {x, y}] yields ( -1 3 ), the sole solution of x = 4x + y and y + x = 2, and
  • Solutions[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}] yields \left (\begin{array}{cc} 0&3\\ -3&6\\ \end{array}\right).
Note: See also Solve Command.
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