Question

The table below shows the process of solving using successive approximations. Continue this process to find the positive solution to the nearest 10th.

Answer 1

I did this on math nation and the answer is 2.7. Just want to let everyone in the future know!

Answer 2

We are going to continue the process; this time we are going to evaluate both functions at x=2.4:
For our first function:
$f(x)=2x-5$
$f(2.4)=2(2.4)-5$
$f(2.4)=4.8-5$
$f(2.4)=-0.2$

For our second function:
$g(x)= x^{2} -6$
$g(2.4)=(2.4)^2-6$
$g(2.4)=5.76-6$
$g(2.4)=-0.24$
To the nearest tenth:
$g(2-4)=-0.2$

We can conclude that the positive solution of our functions to the nearest tenth is $x=2.4$.