The roots of polynomial $ p(m) $ are:
$$ \begin{aligned}m_1 &= -\frac{ 1 }{ 2 }+i\\[1 em]m_2 &= -\frac{ 1 }{ 2 }-i \end{aligned} $$The solutions of $ 4m^2+4m+5 = 0 $ are: $ m = -\dfrac{ 1 }{ 2 }+i ~ \text{and} ~ m = -\dfrac{ 1 }{ 2 }-i$.
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