what is the minimum value of (x - 9)(x-2)=?
(A)0
(B)49/4
(C) - 49/4
(D) 9
noddy0070:
-94/4 is answer
(c) -49/4 answer.
minimum js asked
Answers
Answered by
8
Answer:
Option C -49/4 Is Correct!!
Step-by-step explanation:
(x -2) (x -9)
= (x^2 2x - 9x + 18)
=(x^2 - 11x + 18)
= x^2 - 11x + 121/4 - 121/4 + 18
(x - 11/2)^2 - 49/4
x = 11/2 = -49/4
Hence,Proved Option C is correct!
check it
here is not asked to solve the question by derivative method ok
lol
minimum option is negative
so answer will be -49/4
ok after too late
Answered by
2
Answer:
(x-9)(x-2)=fx
fx=x²-11x+18
derivative ,
2x-11=f'x
let f'x=0, for max or min values
x=11/2
second derivative,=0(+ve)
let x=11/2,in equation
(11/2 -9)(11/2 -2)=fx
fx= -7/2 ×(7/2)= -49/4(minimum value)
option c is correct
hlo
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