Root Command
From GeoGebra Manual
Revision as of 10:57, 20 August 2013 by Alexander Hartl (talk | contribs) (Reverted edits by Alexander Hartl (talk) to last revision by MagdalenaSophieF)
- 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.