Difference between revisions of "Root Command"

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(Removed CAS syntax. See ticket #3566.)
m (Reverted edits by Alexander Hartl (talk) to last revision by MagdalenaSophieF)
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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
{{command|function}}
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{{command|cas=true|function}}
  
 
;Root[ <Polynomial> ]
 
;Root[ <Polynomial> ]
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:Let ''a'' be the ''Start x-Value'' and ''b'' the ''End x-Value'' . This command yields one root of the function in the interval [''a, b''] using a numerical iterative method.
 
:Let ''a'' be the ''Start x-Value'' and ''b'' the ''End x-Value'' . This command yields one root of the function in the interval [''a, b''] using a numerical iterative method.
 
:{{example| 1=<div><code><nowiki>Root[0.1x² - 1.5x + 5, 8, 13]</nowiki></code> yields ''A = (10, 0)''.</div>}}
 
:{{example| 1=<div><code><nowiki>Root[0.1x² - 1.5x + 5, 8, 13]</nowiki></code> yields ''A = (10, 0)''.</div>}}
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==CAS Syntax==
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;Root[ <Polynomial> ]
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:Yields all roots of the polynomial as intersection points of the function graph and the ''x''‐axis.
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:{{example| 1=<div><code><nowiki>Root[x^3 - 3 * x^2 - 4 * x + 12]</nowiki></code> yields ''{x = 3, x = 2, x = -2}''.</div>}}
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{{note| 1=<div>In the [[CAS View]], this command is only a special variant of [[Solve Command]].</div>}}

Revision as of 09:57, 20 August 2013




Root[ <Polynomial> ]
Yields all roots of the polynomial as intersection points of the function graph and the x‐axis.
Example:
Root[0.1*x^2 - 1.5*x + 5 ] yields A = (5, 0) und B = (10, 0).


Root[ <Function>, <Initial x-Value> ]
Yields one root of the function using the initial value a for a numerical iterative method.
Example:
Root[0.1*x^2 - 1.5*x + 5, 6 ] yields A = (5, 0).


Root[ <Function>, <Start x-Value>, <End x-Value> ]
Let a be the Start x-Value and b the End x-Value . This command yields one root of the function in the interval [a, b] using a numerical iterative method.
Example:
Root[0.1x² - 1.5x + 5, 8, 13] yields A = (10, 0).


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:
In the CAS View, this command is only a special variant of Solve Command.
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