(Solved): 2) Consider a system with the following forward and feedback transfer functions: G(s)=(s+3)(s2+ ...

2) Consider a system with the following forward and feedback transfer functions: $$G(s)=\frac{K(s+7)}{(s+3)\left(s^2+2s+10\right)},H(s)=1$$ Write the characteristic equation of the closed-loop system and use Routh's criterion to find the range of the gain $$K$$ for which the closed-loop system is stable. (10 points)