Difference between revisions of "Root Command"

Revision as of 12:57, 24 August 2011

Root[ <Polynomial> ]: Yields all roots of the polynomial as intersection points of the function graph and the x‐axis.
Root[ <Function>, <Number a> ]: Yields one root of the function using the initial value a for Newton's method.
Root[ <Function>, <Number a>, <Number b> ]: Yields one root of the function in the interval [a, b] (regula falsi).

Root[ <Polynomial> ]: Yields all roots of the polynomial as intersection points of the function graph and the x‐axis.; Example:
Root[x^3 - 3 * x^2 - 4 * x + 12] yields {x = 3, x = 2, x = -2}.

Note:

This command is only a special variant of Solve Command.

@@ Line 1: / Line 1: @@
 <noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 {{command|function}}
-; Root[Polynomial]: Yields all roots of the polynomial as intersection points of the function graph and the ''x''‐axis.
+; Root[ <Polynomial> ]
-; Root[Function, Number a]: Yields one root of the function using the initial value ''a'' for Newton's method.
+:Yields all roots of the polynomial as intersection points of the function graph and the ''x''‐axis.
-; Root[Function, Number a, Number b]: Yields one root of the function in the interval [''a, b''] (regula falsi).
+;Root[ <Function>, <Number a> ]
+:Yields one root of the function using the initial value ''a'' for Newton's method.
+;Root[ <Function>, <Number a>, <Number b> ]
+:Yields one root of the function in the interval [''a, b''] (regula falsi).
 ==CAS Syntax==
-;Root[Polynomial]
+;Root[ <Polynomial> ]
 :Yields all roots of the polynomial as intersection points of the function graph and the ''x''‐axis.
 :{{example| 1=<div><code><nowiki>Root[x^3 - 3 * x^2 - 4 * x + 12]</nowiki></code> yields ''{x = 3, x = 2, x = -2}''.</div>}}
 {{note| 1=<div>This command is only a special variant of [[Solve Command]].</div>}}