The root locus design method is used to locate poles at desired locations. However, it is not possible to locate poles arbitrarily. Provide reasons for this statement. K = 1/│G(s)H(s)│ K G(s)H(s) = (2k+1)π I've formulated the answer for this as, The root locus gives the path of the closed loop poles of the function for varying values of gain (K 0 to infinity). The reason for above statement is that, the values of poles (closed loop poles) are governed by the value of the gain. Is this answer correct? Thank you in advance for your help!