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Graphing the root locus and finding range of stability

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I understand how to use Matlab to graph the loci, but I need help to understand how to graph the loci by hand.

Sketch the Loci and find range of K for stability for these two problems

K(s+1)
------------------
(s-1)(s^2 + 4s + 16)

and

K
-------------------
(s-1)(s^2 + 4s + 7)

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Solution Summary

The solution graphs the root locus and finds the range of stability.

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