Difference between revisions of "Roots Command"
From GeoGebra Manual
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:{{example| 1=<div><code><nowiki>Roots[f, -2, 1]</nowiki></code> with the function <code>f(x) = 3x³ + 3x² - x</code> yields <code>A = (-1.264, 0), B = (0, 0), C = (0.264, 0)</code></div>}} | :{{example| 1=<div><code><nowiki>Roots[f, -2, 1]</nowiki></code> with the function <code>f(x) = 3x³ + 3x² - x</code> yields <code>A = (-1.264, 0), B = (0, 0), C = (0.264, 0)</code></div>}} | ||
| + | {{Note|1=See also [[Root Command|Root]] command}} | ||
<!-- Roots[3x³ + 3x² - x, -2, 1] in CAS keeps giving -- ((-2527525234655819) / 2000000000000000, (-4349072213472027 (E) - 4500000000000000) / 500000000000000) even though the rounding is set to 2. Please, try it. The (E) - 4500000000000000 must be replaced by (10)^(- 4500000000000000) at least.- | <!-- Roots[3x³ + 3x² - x, -2, 1] in CAS keeps giving -- ((-2527525234655819) / 2000000000000000, (-4349072213472027 (E) - 4500000000000000) / 500000000000000) even though the rounding is set to 2. Please, try it. The (E) - 4500000000000000 must be replaced by (10)^(- 4500000000000000) at least.- | ||
with Numeric Value, it gives: "(-1.263762617327909, -8.698144426944054 (E) - 9)" with the cientific notation including the "E". | with Numeric Value, it gives: "(-1.263762617327909, -8.698144426944054 (E) - 9)" with the cientific notation including the "E". | ||
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Revision as of 10:58, 15 September 2013
- Roots[ <Function>, <Start x-Value>, <End x-Value> ]
- Calculates the roots for function in the given interval. The function must be continuous on that interval. Because this algorithm is numeric, it may not find all the roots in some cases.
- Example:
Roots[f, -2, 1]with the functionf(x) = 3x³ + 3x² - xyieldsA = (-1.264, 0), B = (0, 0), C = (0.264, 0)
Note: See also Root command
