Difference between revisions of "Solutions Command"

Revision as of 15:22, 3 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.

Note: See also Solve Command.

@@ Line 3: / Line 3: @@
 {{command|CAS}}
 ;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>}}
 ;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|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=&nbsp;
-:* <code>Solutions[x^2 = 4x]</code> gives you "{4, 0}"
-:* <code>Solutions[{x = 4 x + y , y+x = 2}, {x, y}];</code> gives you ''{ {-1, 3} }''.}}
 {{Note|See also [[Solve Command]].}}