GATE EC 1999 Set 1 Q2.16 — Control Systems

For the system described by the state equation
$$x=\left[\begin{array}{ccc} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 0.5 & 1 & 2 \end{array}\right] x+\left[\begin{array}{l} 0 \\ 0 \\ 1 \end{array}\right] u$$
If the control signal $u$ is given by $u=[-0.5-3-5]$ $x+v$, then the eigenvalues of the closed-loop system will be