Largest Real Part Complex Expression

2175ExpertComplex NumbersOptimization

AIME I · 2024 · Problem 7

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

0 students attempted0% solvedRating 2175

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2175ExpertComplex NumbersOptimization

AIME I · 2024 · Problem 7

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

0 students attempted0% solvedRating 2175