The loop transfer function of a single-loop negative feedback system is: L(s) = Gc(s)G(s) = K(s + 2.5)(s + 3.2) / (s2(s + 1)(s + 10)(s + 30))
This system is called conditionally stable because it is stable only for a range of the gain K such that k1 < K < k2. Using the Routh-Hurwitz criteria and the root locus method, determine the range of the gain for which the system is stable.