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`alpha+sqrt(beta)and alpha-sqrt(beta)` are two the two roots of the equation `x^(2)+px+q=0` (where , `alpha,beta,p and q ` are real numbers). Therefore , the roots of the equation `(p^(2)-4q)(p^(2)x^(2)+4px)-16q=0` are -

A

`(1)/(alpha)+(1)/(sqrt(beta))and(1)/(alpha)-(1)/(sqrt(beta))`

B

`(1)/(sqrt(alpha))+(1)/(beta)and(1)/(sqrt(alpha))-(1)/(beta)`

C

`(1)/(sqrt(alpha))+(1)/(sqrt(beta))and(1)/(sqrt(alpha))-(1)/(sqrt(beta))`

D

`sqrt(alpha)+sqrt(beta)andsqrt(alpha)-sqrt(beta)`

Text Solution

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The correct Answer is:
A
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