Difference between revisions of "Root Command"

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

Revision as of 01:08, 6 November 2012


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 a numerical iterative method.
Root[ <Function>, <Number a>, <Number b> ]
Yields one root of the function in the interval [a, b] using a numerical iterative method.

CAS Syntax

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.
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