Find roots of polynomial $$ p(x) = -s^4-60s^3-1300s^2+8000s+260000 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= 12.7481\\[1 em]s_2 &= -14.9688\\[1 em]s_3 &= -28.8897+22.9761i\\[1 em]s_4 &= -28.8897-22.9761i \end{aligned} $$Explanation
Polynomial $ -s^4-60s^3-1300s^2+8000s+260000 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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