Respuesta :

The best solution would be about 2.7. 

Answer:

x=2.732

Step-by-step explanation:

Given are two functions

f(x) = 2x-3 and g(x) = [tex]x^2-5[/tex]

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