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From module Cauchy-Schwarz Inequality
Find the largest possible real part of (75+117i)z+96+144iz(75 + 117i)z + \dfrac{96 + 144i}{z}(75+117i)z+z96+144i, where zzz is a complex number with ∣z∣=4|z| = 4∣z∣=4.
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