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Let p and q real number such that `p!= 0`,`p^3!=q` and `p^3!=-q`. if `alpha` and `beta` are non-zero complex number 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)-(5p^(3) - 2q) x+(p^3-q)=0`

D

`(p^(3) - q)x^(2)-(5p^(3) + 2q) x+(p^3-q)=0`

Text Solution

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The correct Answer is:
B
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