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If alpha,beta,gamma are the roots of x^3...

If `alpha,beta,gamma` are the roots of `x^3-x^2-1=0` then the value of `(1+alpha)/(1-alpha)+(1+beta)/(1-beta)+(1+gamma)/(1-gamma)` is equal to `-5` b. `-6` c. `-7` d. `-2`

A

-7

B

-6

C

-5

D

-4

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If alpha, beta, gamma are roots of equation x^(3)-x-1=0 then the value of sum(1+alpha)/(1-alpha) is :

    A
    5
    B
    3
    C
    `-1`
    D
    `-7`

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