Question 7
Find the largest possible real part of $$
(75 + 117\mathrm{i})z + \frac{96 + 144\mathrm{i}}{z}
$$ where $z$ is a complex number with $|z| = 4.$ Here $\mathrm{i} = \sqrt{-1}.$
(75 + 117\mathrm{i})z + \frac{96 + 144\mathrm{i}}{z}
$$ where $z$ is a complex number with $|z| = 4.$ Here $\mathrm{i} = \sqrt{-1}.$