Question $5$

$1$ pts

A unity negative feedback system has the open loop transfer function: $L(s)=\frac{4(s^2+1)}{s(s+K)},$ where $K0$ is the design parameter. Where do the root loci of closedloop system start and end? Select the correct answer below.

Start at $+-\frac{2}{\sqrt[\phantom{2}]{5}}1,$ end at $0$

Start at $0$ and $K,$ end at $+-i$

Start at $+-\frac{2}{\sqrt[\phantom{2}]{5}}i,$ end at $0$ and $$

Start at $-\frac{2}{\sqrt[\phantom{2}]{5}},$ end at $0$