Difference between revisions of "Root Command"
From GeoGebra Manual
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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. | ||
| − | ;Root[ <Function>, < | + | :{{example| 1=<div><code><nowiki>Root[0.1*x^2 - 1.5*x + 5 ]</nowiki></code> yields ''A = (5, 0)'' und ''B = (10, 0)''.</div>}} |
| + | |||
| + | ;Root[ <Function>, <Initial x-Value> ] | ||
:Yields one root of the function using the initial value ''a'' for a numerical iterative method. | :Yields one root of the function using the initial value ''a'' for a numerical iterative method. | ||
| − | ;Root[ <Function>, < | + | :{{example| 1=<div><code><nowiki>Root[0.1*x^2 - 1.5*x + 5, 6 ]</nowiki></code> yields ''A = (5, 0)''.</div>}} |
| − | : | + | |
| + | ;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| 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== | ==CAS Syntax== | ||
;Root[ <Polynomial> ] | ;Root[ <Polynomial> ] | ||
Revision as of 17:12, 10 July 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.
