## Numerical Analysis Examples with my Solutions using Maple 11 Software

Example 1: Approximate the following cubic equation by finding all its roots using Maple 11 f(x) = 10 x^3 – 8.3 x^2 + 2.295 x – 0.21141

Solution:

## Source: Numerical Analysis, 9th Edition by Richard Burden and J. Douglas Faires.

## The above equation has three roots as shown in the above graph

The first assumption:

x0 = 0.3 and then we do four iterations x1, x2, x3 and x4.

The second assumption:

x0 = 0.26 and then we do four iterations x1, x2, x3 until we reach x20.

The third assumption:

x0 = 0.28 and then we do four iterations x1, x2, x3 until we reach x6.