Question

help!

Answer 1

@sidsiddhartha

Answer 2

do u know what is mean value theorem?

Answer 3

yess i think there is only two, right?

Answer 4

whats the final equation u've got?

Answer 5

u'll get 1 real and 2 complex roots

Answer 6

so ithink only one will be in that interval

Answer 7

\[f'(c)=\frac{ f(b)-f(a) }{ b-a }\]
it is the MVT

Answer 8

ohh youre right, its only one, thank you @sidsiddhartha (:

Answer 9

\[f(x)=|(x^2+1)(X^2-10)|\\f'(x)=|4x^3-18x|\\f'(c)=|4c^3-18c|\\so\\4c^3-18c=\frac{ f(2.5)-f(0) }{ 2.5-0 }=\frac{ 37.5 }{ 2.5 }=15\\4c^3-18c-15=0\\\]

Answer 10

from here u'll get 1 real and 2 complex roots and only the real one will be inside the interval

Answer 11

:)