Question: Test whether the point ( - 5 + j 0 ) lies on the root locus of a system having open loop / forward path

Test whether the point (-5+j0) lies on the root locus of a system having open loop/forward path transfer function as
G(s)=K(s+4)(s2+6s+13)
If the point (-5+j0) lies on the root locus, then determine the value of K at this point.
Test whether the point ( - 5 + j 0 ) lies on the

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