Difference between revisions of "Solutions Command"

Revision as of 10:08, 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] returns{{4}, {0}}, the solutions of x² = 4x.

Example:

Solutions[{x + y = 2, y = x}] returns {{1,1}} .

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.

@@ Line 3: / Line 3: @@
 ;Solutions[ <Equation> ]
 :Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions.
-:{{Example|1=<div><code><nowiki>Solutions[x^2 = 4x]</nowiki></code> gives ''{{4}, {0}}'', the solutions of ''x<sup>2</sup> = 4x''.</div>}}
+:{{Example|1=<div><code><nowiki>Solutions[x^2 = 4x]</nowiki></code> returns''{{4}, {0}}'', the solutions of ''x<sup>2</sup> = 4x''.</div>}}
+:{{Example|1=<div><code><nowiki>Solutions[{x + y = 2, y = x}]</nowiki></code> returns <nowiki>{{1,1}} </nowiki> .</div>}}
 ;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.