Finding The Actual Roots Might Be Painful 1

Algebra Level 5

If \(\alpha, \beta, \gamma\) are roots to the equation \(x^3-x-1=0\), then evaluate the value of the below expression: \[\frac{1+\alpha}{1-\alpha} + \frac{1+\beta}{1-\beta} + \frac{1+\gamma}{1-\gamma}\]

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