The function f(x) = g(x), where f(x) = 2x – 5 and g(x) = x2 – 6.

Mathematics

1 answer:

den301095 [7]2 years ago

5 0

Answer:

$x=2.4$

Step-by-step explanation:

<u>Solving Equations Using Successive Approximations</u>

We need to find the solution to the equation

$f(x)=g(x)$

where

$f(x)=2x-5$

$g(x)=x^2-6$

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

$f(2.5)=0$

$g(2.5)=2.5^2-6=0.25$

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

$f(2.4)=-0.2$

$g(2.4)=2.4^2-6=-0.24$

The new difference is -0.2+0.24=0.04

It's accurate enough, thus the solution is

$\boxed{x=2.4}$

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