Polynomial Problem 2

Algebra Level 3

α,β,γ\alpha,\beta,\gamma are the roots of x3x1=0x^3-x-1=0.

Compute 1α1+α+1β1+β+1γ1+γ\qquad\qquad\qquad \dfrac{1-\alpha}{1+\alpha} + \dfrac{1-\beta}{1+\beta} + \dfrac{1-\gamma}{1+\gamma}

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