Fundamentals Of Electric Circuits Practice Problem 8.10

A step-by-step solution to Practice problem 8.10 from the 5th edition of Fundamentals of electric circuits by Charles K. Alexander and Matthew N.O. Sadiku. The values in the question may be different from the ones you have in the edition you're using but the approach should be the same.
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[@mulubirhantadesse3542]

How s^2+7s+6=0
s1=-1? s2=-6?
Shouldn't the characteristic equation be s^2-7s+6=0?
To get s1 & s2?

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Hello. Did you not understand how I got the equation, or are you specifically concerned about its solution?

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