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The equation 2s^4+s^3+3s^2+5s+10=0 has roots in the left half of s–plane:

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The equation 2s^4+s^3+3s^2+5s+10=0 has roots in the left half of s–plane:

(a) One

(b) Two

(c) Three

(d) Four

I got this question in final exam.

Question is taken from Experimentation of Transfer Function topic in portion Frequency Response Analysis of Control Systems

1 Answer

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Correct choice is (b) Two

Explanation: The roots of the equation can be calculated using Routh-Hurwitz criterion and hence there are 2 sign changes in the first column of the row and therefore the two roots lie on the right half of s-plane.

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