The function f(x) = g(x), where f(x) = 2x – 5 and g(x) = x2 – 6.
The table below shows the process of solving using successive approximations:
Continue this process to find the positive solution to the nearest 10th

Step-by-step explanation:

Solving Equations Using Successive Approximations

We need to find the solution to the equation

where

The approximation has been already started and reached a state for x=2.5 where

The difference between the results is 0.25, we need further steps to reach a good solution (to the nearest tenth)

Let's test for x=2.4

The new difference is -0.2+0.24=0.04

It's accurate enough, thus the solution is