# Root Locus, Meaning of the Roots?

I'm studying control theory and I encountered the root locus, I know that It plots the roots of the characteristic equation but i've some questions.

1. What is the physical meaning of the Roots of the Characteristic Equation?
2. Why the roots of the characteristic equation and not the overall transfer function ?
3. What do the branches of the root locus represent and their relation to the gain $K$?
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