# Alpha, Beta Gamma strike again

Algebra Level 5

If $$\alpha ,\beta,\gamma$$ are the roots of the equation $$\displaystyle x^3-x-1=0$$, then determine the equation whose roots are $$\dfrac{1+\alpha}{1-\alpha},\dfrac{1+\beta}{1-\beta},\dfrac{1+\gamma}{1-\gamma}$$.

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