P7.29 A unity feedback control system has the loop transfer function

L(s) = Gc(s)G(s) = K(s + 6s+10) s(s+2s+10) We desire the dominant roots to have a damping ratio =0.707. Find the gain K when this condi- tion is satisfied. Show that the complex roots area s-11.1j11.1 at this gain.