The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= \frac{\sqrt{ 6 }}{ 6 }i\\[1 em]x_2 &= - \frac{\sqrt{ 6 }}{ 6 }i \end{aligned} $$The solutions of $ 6x^2+1 = 0 $ are: $ x = \dfrac{\sqrt{ 6 }}{ 6 } i ~ \text{and} ~ x = - \dfrac{\sqrt{ 6 }}{ 6 } i $.
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