Find roots of polynomial $$ p(x) = s^4+225s^2-1200s+12500 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= 3.6364+6.5745i\\[1 em]s_2 &= 3.6364-6.5745i\\[1 em]s_3 &= -3.6364+14.4299i\\[1 em]s_4 &= -3.6364-14.4299i \end{aligned} $$Explanation
Polynomial $ s^4+225s^2-1200s+12500 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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