Physics · Control Systems
Consider an even polynomial p(s) given by p(s) = s4 + 5s2 + 4 + K, where K is an unknown real parameter. The complete range of K for which p(s) has all its roots on the imaginary axis is:
- 1-5 ≤ K ≤ 0
- 2-6 ≤ K ≤ 5/4
- 3-3 ≤ K ≤ 9/2
- 4-4 ≤ K ≤ 9/4✓
Correct answer
-4 ≤ K ≤ 9/4
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