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GATE Chemical 2017 | Question: 52

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The characteristics equation of a closed-loop system is

$$6s^{3}+11s^{2}+6s+\left ( 1+K \right )=0,\:\:\:\:\:\: where \:K>0$$

The value of $K$ beyond which the system just becomes unstable, rounded to the nearest integer, is ______________.
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