Difference between revisions of "Root Command"
From GeoGebra Manual
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; Root[Function, Number a, Number b]: Yields one root of the function in the interval [''a, b''] (regula falsi). | ; Root[Function, Number a, Number b]: Yields one root of the function in the interval [''a, b''] (regula falsi). | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ; Root[Polynomial]: Yields all roots of the polynomial as intersection points of the function graph and the ''x''‐axis. | + | ;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>This command is only a special variant of [[Solve Command]].</div>}} | ||
Revision as of 14:39, 22 August 2011
- 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 Newton's method.
- Root[Function, Number a, Number b]
- Yields one root of the function in the interval [a, b] (regula falsi).
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.
