# François Viete Going Wild

Algebra Level 5

If $\alpha, \beta, \gamma$ are the roots of $x^3 - x - 1 = 0$, find $\dfrac{1 + \alpha}{1 - \alpha} + \dfrac{1 + \beta}{1 - \beta} + \dfrac{1 + \gamma}{1 - \gamma}$.

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