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The characteristic equation of a control system is given by s6+2s5+8s4+12s3+20s2+16s+16=0 . The number of the roots of the equation which lie on the imaginary axis of s-plane:

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The characteristic equation of a control system is given by s<sup>6</sup>+2s<sup>5</sup>+8s<sup>4</sup>+12s<sup>3</sup>+20s<sup>2</sup>+16s+16=0 . The number of the roots of the equation which lie on the imaginary axis of s-plane:





 
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