Question
Let the minimum value $v_{0}$ of $v=|z|^{2}+|z-3|^{2}+|z-6 i|^{2}, z \in \mathbb{C}$ is attained at ${ }{z}=z_{0}$. Then $\left|2 z_{0}^{2}-\bar{z}_{0}^{3}+3\right|^{2}+v_{0}^{2}$ is equal to :
Let the minimum value $v_{0}$ of $v=|z|^{2}+|z-3|^{2}+|z-6 i|^{2}, z \in \mathbb{C}$ is attained at ${ }{z}=z_{0}$. Then $\left|2 z_{0}^{2}-\bar{z}_{0}^{3}+3\right|^{2}+v_{0}^{2}$ is equal to :