An electromechanical closed-loop control system has the following characteristic equation [ s^{3}+6 mathrm{~K} s^{2}+(mathrm{K}+2) s+8=0 ] where

Question:

An electromechanical closed-loop control system has the following characteristic equation
\[
s^{3}+6 \mathrm{~K} s^{2}+(\mathrm{K}+2) s+8=0
\]

where $\mathrm{K}$ is the forward gain of the system. The condition for closed-loop stability is
(a) $\mathrm{K}=0.528$
(b) $\mathrm{K}=2$
(c) $\mathrm{K}=0$
(d) $\mathrm{K}=-2.528$

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