If the difference between the roots of t...

If the difference between the roots of the equation `x^(2)+a x+1=0` is less than `sqrt(5)`, then the set of possible values of a is

A

`(-3,3)`

B

`(-3,oo)`

C

`(3,oo)`

D

`(-oo,-3)`

Verified by Experts

The correct Answer is:

A

`alpha+beta=-a`
`|alpha-beta|ltsqrt(5)implies(alpha-beta)^(2)lt5`
`impliesa^(2)-4lt5impliesa epsilon(-3,3)`

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