Which of the following statements is correct regarding position of roots of a closed loop system having characteristics equation s6 + 3s5 + 5s4 + 9s3 + 8s2 + 6s + 4 = 0?

1
All six roots lie on the imaginary axis.
2
Only one root lies on the imaginary axis.
3
Only four roots lie on the imaginary axis.
4
Only two roots lie on the imaginary axis.

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