Difference between revisions of "Root Command"
From GeoGebra Manual
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− | <noinclude>{{Manual Page|version=5.0}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}} |
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;Root[ <Polynomial> ] | ;Root[ <Polynomial> ] | ||
: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. | ||
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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. | ||
:{{example| 1=<div><code><nowiki>Root[x^3 - 3 * x^2 - 4 * x + 12]</nowiki></code> yields ''{x = -2, x = 2, x = 3}''.</div>}} | :{{example| 1=<div><code><nowiki>Root[x^3 - 3 * x^2 - 4 * x + 12]</nowiki></code> yields ''{x = -2, x = 2, x = 3}''.</div>}} | ||
− | {{note| 1=<div>In the [[CAS View]], this command is only a special variant of [[Solve Command]].</div>}} | + | {{note| 1=<div>In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]], this command is only a special variant of [[Solve Command]].</div>}} |
Revision as of 14:52, 10 August 2015
- 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) and 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 = -2, x = 2, x = 3}.
Note:
In the CAS View, this command is only a special variant of Solve Command.