If x in R , " then " f(x)=(x-1)^(2)+(x-...

If ` x in R , " then " f(x)=(x-1)^(2)+(x-2)^2+(x-3)^(2)+(x-4)^(2)` assumes its minimum value at :

A

x=10

B

x=2.5

C

x=20

D

None of these

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

f(x)=2x^(3)-18 x^(2)+30x+36 has minimum value at x =

f(x)=2x^(3)-18x^(2)+30x+36 has minimum value at x = ….

clf a_(1),a_(2),a_(3),...,a_(n)in R then (x-a_(1))^(2)+(x-a_(2))^(2)+....+(x-a_(n))^(2) assumes its least value at x=

Minimum value of f(x)=(x-1)^(2)+(x-2)^(2)+...+(x-10)^(2) occurs at

f(x)=(x-1)(x-2)(x-3) is minimum at x=

if f(x)=(x^(3))/(3)-x^(2)+(1)/(5) find maximum and minimum value of f(x)

If f(x)=sqrt(2x^(2)-6x+5)+sqrt(2x^(2)-40x+218) ,then the minimum value of f(x) is

The function f(x)=sum_(r=1)^(5)(x-r)^(2) assuming minimum value at x=(a)5(b)(5)/(2)(c)3(d)2

Consider the function f(X)=(x^(2)-x+1)/(x^(2)+x+1) What is the minimum value of the funciton ?