Let G (s) = K . By sketching the root-locus, show that the closed-loop system is always unstable. (s)=K((v+1) s+\alpha) \text { where } v: 6 \text { and } \alpha: 36 number. Draw the root-locus (Note: you need to show all the necessary steps in drawing theroot-locus) and determine whether that the closed-loop system can be stabilized, if so,determine the range of K for the closed-loop system to remain stable.
Fig: 1
Fig: 2
Fig: 3
Fig: 4
Fig: 5