Calculus & Numerical Methods
False Position Root
Regula falsi root finding on [a, b].
Formula
Formula
c = b − f(b)b−af(b)−f(a)
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 - 5, a = 1, b = 2
Result1.709975947