Question

The function f(x) =g(x), where f(x) =2x-3 and g(x) =x^2-5

Answer 1

The best solution would be about 2.7. 

Answer 2

x=2.732

Explanation:

Given are two functions

f(x) = 2x-3 and g(x) =
`x^2-5`

WE have to find the approximae value when these two funcitons are equal

Since we are asked to find only positive value we can refer table and do

f(2) >g(2) but f(3)<g(3) Hence there is one solution between 2 and 3.

f(2.5)>g(2.5). So the root lies between 2.5 and 3 since change of sign takes place here

x f g

2.6 2.2 1.76

2.7 2.4 2.229

2.72 2.44 2.398

2.73 2.46 2,453

2.732 2,464 2.464

Hence answer is x =2,732