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Let f(x)=x^2-bx+ c, b is a odd positive ...

Let `f(x)=x^2-bx+ c`, b is a odd positive integer, `f(x) = 0` have two prime numbers as roots and `b+c=35` Then the global minimum value of f(x) is

A

`-(183)/(4)`

B

`(173)/(16)`

C

`-(81)/(4)`

D

data not sufficient

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The correct Answer is:
C
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