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Transfer function 1/(s² + 2s + 5) has poles at:
AReal -2
BRight half
CImaginary
Ds = -1 ± 2j (complex conjugate, in LHP — stable)
Answer & Solution
Correct answer: D. s = -1 ± 2j (complex conjugate, in LHP — stable)
s² + 2s + 5 = 0. By quadratic: s = (-2 ± √(4-20))/2 = -1 ± 2j. Both in LHP → stable. Damping ratio ζ = 1/√5 ≈ 0.447 (underdamped). Natural frequency ω_n = √5 ≈ 2.24.
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