Bisection method
The bisection method in mathematics is a root-finding method that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. The method is also called the interval halving method.
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Bisection method
Digits after the decimal point: 4
Formula
x3+3⋅x2+12⋅x+8
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Sequence
| Step | x | F(x) | |x(i) - x(i-1)| |
|---|---|---|---|
| x2 | 0 | 8 | 5 |
| x3 | -2.5 | -18.875 | 2.5 |
| x4 | -1.25 | -4.26563 | 1.25 |
| x5 | -0.625 | 1.42773 | 0.625 |
| x6 | -0.9375 | -1.43726 | 0.3125 |
| x7 | -0.7813 | -0.02078 | 0.15625 |
| x8 | -0.7031 | 0.69804 | 0.07813 |
| x9 | -0.7422 | 0.33745 | 0.03906 |
| x10 | -0.7617 | 0.15806 | 0.01953 |
| x11 | -0.7715 | 0.06857 | 0.00977 |
x
-0.7790
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