The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.1213\\[1 em]x_2 &= -4.1213\\[1 em]x_3 &= 2+i\\[1 em]x_4 &= 2-i \end{aligned} $$Polynomial $ 2x^4-23x^2+44x-5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.