Difference between revisions of "Solutions Command"

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: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 (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>Solutions[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''{ {-1, 3} }'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}}
 
:{{Example|1=<div><code><nowiki>Solutions[{x = 4 x + y , y + x = 2}, {x, y}]</nowiki></code> gives ''{ {-1, 3} }'', the sole solution of ''x = 4x + y'' and ''y + x = 2''.</div>}}
 +
:{{Example|1=<div><code><nowiki>Solutions[ 3a = 5b, a ]</nowiki></code> returns ''{5b/3}'' .</div>}}
 
{{Note|See also [[Solve Command]].}}
 
{{Note|See also [[Solve Command]].}}

Revision as of 10:03, 10 August 2011


This command works in CAS View only.

Solutions[ <Equation> ]
Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions.
Example:
Solutions[x^2 = 4x] gives {{4}, {0}}, the solutions of x2 = 4x.
Solutions[ <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:
Solutions[{x = 4 x + y , y + x = 2}, {x, y}] gives { {-1, 3} }, the sole solution of x = 4x + y and y + x = 2.
Example:
Solutions[ 3a = 5b, a ] returns {5b/3} .
Note: See also Solve Command.
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