Difference between revisions of "Root Command"
From GeoGebra Manual
(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}} | + | {{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== | ||
+ | ;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>In the [[CAS View]], this command is only a special variant of [[Solve Command]].</div>}} |
Revision as of 10:57, 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.