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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