Difference between revisions of "Solutions Command"

Revision as of 11:32, 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:
Solve[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:
Solve[x * a^2 = 4a] yields \{\frac{4}{x}\}, the solution 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.

@@ Line 2: / Line 2: @@
 {{command|CAS}}
 ;Solutions[ <Equation> ]
-:Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions.
+:Solves a given equation for the variable x and returns a list of all solutions.
-:{{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>Solve[x^2 = 4x]</nowiki></code> yields ''{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.
+:Solves an equation for a given unknown variable and returns a list of all solution.
-:{{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>Solve[x * a^2 = 4a]</nowiki></code> yields <math>\{\frac{4}{x}\}</math>, the solution of ''x a<sup>2</sup> = 4a''.</div>}}
-:{{Example|1=<div><code><nowiki>Solutions[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]</nowiki></code> returns <math>\left (\begin{array}{cc} 0&3\\ -3&6\\  \end{array}\right)</math> , the two solutions {0,3} and {-3,6}.</div>}}
+;Solutions[ <List of Equations>, <List of Variables> ]
-{{Note|See also [[Solve Command]].}}
+:Solves a set of equations for a given set of unknown 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> yields ''( -1  3 )'', the sole solution of ''x = 4x + y'' and ''y + x = 2'' and
+* <code><nowiki>Solutions[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]</nowiki></code> yields ''<math>\left (\begin{array}{cc} 0&3\\ -3&6\\  \end{array}\right)</math>''.
+</div>}}
+{{note|See also [[Solve Command]].}}

Difference between revisions of "Solutions Command"

Revision as of 11:32, 19 August 2011

Solutions

Command Categories (All commands)