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