Calculus & Numerical Methods
Bisection Root
Find a root of f on [a, b] (sign change required).
Formula
Formula
repeatedly halve [a, b]
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| f | function | expression / text | x | input |
| a, b | bracketing interval | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenf(x) = x*x - 2, a = 0, b = 2
Result1.414213562
Example 2
Givenf(x) = x*x*x - x - 2, a = 1, b = 2
Result1.521379707