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If x is real, then the minimum value of ...

If `x` is real, then the minimum value of the expression `x^2-8x+17` is

A

`-1`

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Let `f(x)=x^(2)-8x+17`
`therefore f^(')(x)=2x-8`
So, `f^(')(x)=0`, gives x=4
So, x=4 is the point of local minima.
`therefore` Minimum value of f(x) at x=4,
`f(4)= 4xx4 - 8 xx 4+17=1`
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