Polynomialshard
0:00.0

The polynomial P(x)=x33x+1P(x) = x^3 - 3x + 1 has roots α,β,γ\alpha, \beta, \gamma. Find 1α2+1β2+1γ2\frac{1}{\alpha^2} + \frac{1}{\beta^2} + \frac{1}{\gamma^2}.