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Let p and q be real numbers such that p ...

Let p and q be real numbers such that p `ne` 0 , `p^(3) ne ` q and `p^(3) ne - q.` if `alpha and beta` are non-zero complex numbers satisfying `alpha + beta = -p` and `alpha^(3) + beta^(3) = q, `
then a quadratic equation having `(alpha)/(beta ) and (beta)/(alpha)` as its roots is :

A

`(p^(3) + q) x^(2) - (p^(3) + 2q) x + (p^(3) + q) = 0`

B

`(p^(3) + q) x^(2) - (p^(3) - 2q) x + (p^(3) + q) = 0`

C

`(p^(3) - q) x^(2) - (p^(3) - 2q) x + (p^(3) - q) = 0`

D

`(p^(3) - q) x^(2) - (p^(3) + 2q) x + (p^(3) - q) = 0`

Text Solution

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The correct Answer is:
B
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