Show that the function #f(x)=4x^2-5x# has a zero between #1# and #2#.
2 Answers
As the value of function
Explanation:
The function is
Its derivative being
Further, at
At
It is obvious that between
We may apply the Bolzano Theorem
Bolzano Theorem (BT)
Let, for two real a and b, a < b, a function f be continuous on a closed interval [a, b] such that f(a) and f(b) are of opposite signs. Then there exists a number
Hence we have that
Because