Polynomialshard
0:00.0

If α,β,γ\alpha, \beta, \gamma are the roots of x3x1=0x^3 - x - 1 = 0, what is the value of 1α+1+1β+1+1γ+1\frac{1}{\alpha + 1} + \frac{1}{\beta + 1} + \frac{1}{\gamma + 1}?