The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.2707+0.4486i\\[1 em]x_2 &= 1.2707-0.4486i\\[1 em]x_3 &= -0.7707+0.7123i\\[1 em]x_4 &= -0.7707-0.7123i \end{aligned} $$Polynomial $ -x^4+x^3+x^2-2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.