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Question

Question: If x be real, then the minimum value of \(x^{2} - 8x + 17\) is...

If x be real, then the minimum value of x28x+17x^{2} - 8x + 17 is

A

– 1

B

0

C

1

D

2

Answer

1

Explanation

Solution

Since a=1>0a = 1 > 0 therefore its minimum value is

=4acb24a=4(1)(17)644=44=1= \frac{4ac - b^{2}}{4a} = \frac{4(1)(17) - 64}{4} = \frac{4}{4} = 1