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If alpha" and "beta are the solutions of...

If `alpha" and "beta` are the solutions of the quadratic equation `ax^(2)+bx+c=0` such that `beta= alpha^(1/3)`, then

A

`(ac)^(1)/(3)+(ab)^(1)/(3)+c=0`

B

`(a^(3)c)^(1)/(4)+(ab^(3))^(1)/(4)+c=0`

C

`(a^(3)c)^(1/4)+(ac^(3))^(1/4)+b=0`

D

`(a^(4)c)^(1)/(3)+(ac^(4))^(1)/(3)+b=0`

Text Solution

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The correct Answer is:
C
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