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Ans \Rightarrow a       \Rightarrow The system is unstable and we have two poles on right side of the s-plane. Explanation :   Here, In this routh array the total number of sign change in first column is = 2 We know that the Total number of sign change in forst column = Number of poles on right side of s-plane. So, System is unstable and two poles on right side of s-plane.Q. Routh Array,Array\begin{array}{ccc}5^{3} & 7 & -7 \\5^{2} & 5 & 8 \\5^{1} & -\frac{43}{5} & 0 \\5^{0} & 8 & 0\end{array}\Rightarrow In this routh Array the total number of sign chnnge in first column =2\Rightarrow In Royth Array,the total number of sisn change = numers of poles on right side of s plane.\therefore Here, sign change in first colimn =2\therefore 2 poles on right side \therefore system is rmstable,\therefore A n s \Rightarrow a\Rightarrow the system is rmstable, and ae have two poles' on the right sife of the S-Plane.fon, only check All optionb option b is not rirtt becayse here sion change two times so, two poles are on right side.\rightarrow for option c\Rightarrow \operatorname{sign} change occurs, so system is not stable.\rightarrow for oftion -d\begin{aligned}\Rightarrow & \text { sign change }=\text { two times, } \\& 50+w 0 \text { poles on right, sife. }\end{aligned}\rightarrow For option - e, \Rightarrow sustem is unstable,So, oniy Ans =a is trye,That \Rightarrow The sustem is anstabie and tavo foles on right side of s-piane. ...