The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.7818\\[1 em]x_2 &= 0.4909+0.7256i\\[1 em]x_3 &= 0.4909-0.7256i \end{aligned} $$Polynomial $ 5x^3-x^2+3 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.