$\alpha$, $\beta$ ,$\gamma$  are roots of equatiuon $x^3 -x -1 = 0$ then equation whose roots are $\frac{1}{{\beta  + \gamma }},\frac{1}{{\gamma  + \alpha }},\frac{1}{{\alpha  + \beta }}$ is

  • A

    $x^3 -x^2 + 1 = 0$

  • B

    $x^3 + x^2 -1 = 0$

  • C

    $x^3 + x -1 = 0$

  • D

    $x^3 -x + 1 = 0$

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