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if alpha and beta are the roots of the e...

if `alpha` and `beta` are the roots of the equatio0n `x^2+px+q=0`and does not have real roots then `(alpha-beta)^2` =

A

`q^(2) - 4p`

B

`4p^(2) - p`

C

`p^(2) - 4q`

D

`p^(2) + 4q`

Text Solution

Verified by Experts

The correct Answer is:
C
`(alpha - beta)^(2) = (alpha+beta)^(2) - 4alphabeta`
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