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Let a,b,c in R and a gt 0. If the quadr...

Let a,b,c ` in R and a gt 0`. If the quadratic equation ` ax^(2) +bx +c=0` has two real roots `alpha and beta` such that ` alpha gt -1 and beta gt 1` , then show that ` 1 + |b/a| + c/a gt 0`

A

less than 2

B

less than 1

C

less than 0

D

less than -1

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The correct Answer is:
D
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