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Let p, q in R. If 2- sqrt3 is a root of ...

Let `p, q in R. If 2- sqrt3` is a root of the quadratic equation, `x^(2)+px+q=0,` then

A

`q^(2)-4p-16=0`

B

`p^(2)-4q+12=0`

C

`p^(2)-4q-12=0`

D

`q^(2)+4p+14=0`

Text Solution

Verified by Experts

The correct Answer is:
C
`p,q in R ` The other root is `2+sqrt(3)`
`p, q in R rArr` The other root is `2+sqrt(3)`
So, `p=-4 " " q=1`
`p^(2)-4q=16-4=12, " " p^(2)-4q-12=0`
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