Find roots of polynomial $$ p(x) = r^4+2r^2+1 $$
Answer
The roots of polynomial $ p(r) $ are:
$$ \begin{aligned}r_1 &= i\\[1 em]r_2 &= -i\\[1 em]r_3 &= i\\[1 em]r_4 &= -i \end{aligned} $$Explanation
Polynomial $ r^4+2r^2+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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