If x^(2) + px + q = 0 has the roots alph...

If `x^(2) + px + q = 0` has the roots `alpha` and `beta`, then the value of `(alpha - beta)^(2)` is equal to

A

`p^(2) - 4q`

B

`(p^(2) - 4q)^(2)`

C

`p^(2) + 4q`

D

`(p^(2) + 4q)^(2)`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of x^(2)-2x +4=0 then alpha^(n) + beta^(n) is equal to

If alpha and beta are the roots of 4x^(2) + 2x - 1 = 0 , then beta is equal to

If alpha and beta are the roots of the equation x^(2)-7x+1=0 , then the value of 1/(alpha-7)^(2)+1/(beta-7)^(2) is :

If alpha and beta are the roots of the equations x^(2) - 6x +a=0 and satisfy the relations 3 alpha + 2 beta= 16 , then the value of a is :

If alpha and beta are the roots of x ^(2) - ax + b ^(2) = 0, then alpha ^(2) + beta ^(2) is equal to