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`.