Difference between revisions of "Root Command"
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}} |
| − | {{command|cas=true|function}} | + | ;Root( <Polynomial> ) |
| − | ; Root | ||
: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 | + | :{{example| 1=<code><nowiki>Root(0.1*x^2 - 1.5*x + 5)</nowiki></code> 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. | :Yields one root of the function using the initial value ''a'' for a numerical iterative method. | ||
| − | ;Root | + | :{{example| 1=<code><nowiki>Root(0.1*x^2 - 1.5*x + 5, 6)</nowiki></code> 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| 1=<code><nowiki>Root(0.1x² - 1.5x + 5, 8, 13)</nowiki></code> yields ''A = (10, 0)''.</div>}} | ||
| + | |||
| + | |||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;Root | + | ;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. | ||
| − | :{{example| 1= | + | :{{example| 1=<code><nowiki>Root(x^3 - 3 * x^2 - 4 * x + 12)</nowiki></code> yields ''{x = -2, x = 2, x = 3}''.}} |
| − | {{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>}} |
Latest revision as of 09:46, 9 October 2017
- 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:
