Visual Calculus - Bisection Method

Problem:
Use the bisection method to find a root of the function

f(x) = x³ - 7 x - 4.

Visualization:
Using Microcalc:

Choose Intermediate Calculus from the initial menu and press .
Use the arrow keys to move to the menu item Bisection, press and .
At the prompt F(x) =, enter the function x^3 - 7x - 4
and use the bounds

x0 = 0 x1 = 3

Use the arrow keys to move to Automatic Bisect. and press

. You will see the following table:

 m = Midpoint of [x0, x1]
+-------------------------------------------------------------------+
Ś            x0 m = ˝(x0 + x1)             x1   F(x0)   F(m)  F(x1) Ś
Ś-------------------------------------------------------------------Ś
Ś   0.00000 000    1.50000 000    3.00000 000     < 0    < 0    > 0 Ś
Ś   1.50000 000    2.25000 000    3.00000 000     < 0    < 0    > 0 Ś
Ś   2.25000 000    2.62500 000    3.00000 000     < 0    < 0    > 0 Ś
Ś   2.62500 000    2.81250 000    3.00000 000     < 0    < 0    > 0 Ś
Ś   2.81250 000    2.90625 000    3.00000 000     < 0    > 0    > 0 Ś
Ś                                                                   Ś
Ś   2.81250 000    2.85937 500    2.90625 000     < 0    < 0    > 0 Ś
Ś   2.85937 500    2.88281 250    2.90625 000     < 0    < 0    > 0 Ś
Ś   2.88281 250    2.89453 125    2.90625 000     < 0    < 0    > 0 Ś
Ś   2.89453 125    2.90039 063    2.90625 000     < 0    > 0    > 0 Ś
Ś   2.89453 125    2.89746 094    2.90039 063     < 0    > 0    > 0 Ś
+-------------------------------------------------------------------+

If you want greater accuracy, use the arrow keys to move to Automatic Bisect. and press .