The roots of polynomial $ p(r) $ are:
$$ \begin{aligned}r_1 &= 1.1654\\[1 em]r_2 &= -0.5827+0.7201i\\[1 em]r_3 &= -0.5827-0.7201i \end{aligned} $$Polynomial $ 2r^3-r-2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.