Question 29
If $\alpha, \beta, \gamma$ are the roots of $x^{3}-x-1=0$, compute
$$
\frac{1+\alpha}{1-\alpha}+\frac{1+\beta}{1-\beta}+\frac{1+\gamma}{1-\gamma}
$$
$$
\frac{1+\alpha}{1-\alpha}+\frac{1+\beta}{1-\beta}+\frac{1+\gamma}{1-\gamma}
$$
MathNet 1996 — Part 01 Question 29
Math Olympiad Vault · MathNet 1996 — Part 01