[ Algebraic equations in C. Root extraction ]

How does the formula for the roots of a biquadratic equation $x^{4}+p x^{2}+q=0$ look like, if $p^{2}-4 q<0$?
Use the result of problem $\underline{61079}$.

## Answer

$\pm\left(\sqrt{\frac{2 \sqrt{q}-p}{4}} \pm i \sqrt{\frac{2 \sqrt{q}+p}{4}}\right)$