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Let `alpha, beta , gamma` be the roots of `x^(3)+x+10=0`. Write `alpha_(1)=(alpha+beta)/(alpha^(2)),beta_(1)=(beta+gamma)/(alpha^(2)), gamma_(1)=(gamma+alpha)/(beta^(2))`. Then the value of `(alpha_(1)^(3)+beta_(1)^(3)+gamma_(1)^(3))-(1)/(10)(alpha_(1)^(2)+beta_(1)^(2)+gamma_(1)^(2))` is

A

`(1)/(10)`

B

`1/5`

C

`3/10`

D

`1/2`

Text Solution

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The correct Answer is:
C
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