Given the characteristic equation below, what is the number of roots which will be located to the right of the imaginary axis?
\[
s^4 + 5s^3 - s^2 - 17s + 12 = 0
\]
Show Hint
- One
- Two
- Three
- Zero
The Correct Option is B
Solution and Explanation
- To determine the number of roots to the right of the imaginary axis, use the Routh-Hurwitz criterion, which helps count the number of unstable poles by forming a Routh array from the characteristic equation.
- The Routh array indicates that there are two poles with positive real parts.
Conclusion: The number of roots located to the right of the imaginary axis is two, as given by option (B).
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