Consider a closed-loop control system with a negative unity feedback and the open-loop transfer function below \((k>0)\). Which one of the following statements is correct and complete?

1) The points \(-1 \pm j\) are on the root locus of the system.
2) The points \(-1 \pm j\) are on the root locus of the system, but they are NOT break-away/break-in points.
3) The points \(-1 \pm j\) are NOT on the root locus of the system.
4) The points \(-1 \pm j\) are on the root locus of the system and they are break-away/break-in points.

G(s) = = k(s+0.5) s(s+45 +8)