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2024 AIME
7
Complex Expression
Complex Expression
Source: 2024 AIME I #7
February 2, 2024
AMC
AIME
AIME I
Problem Statement
Find the largest possible real part of
(
75
+
117
i
)
z
+
96
+
144
i
z
(75+117i)z+\frac{96+144i}{z}
(
75
+
117
i
)
z
+
z
96
+
144
i
where
z
z
z
is a complex number with
∣
z
∣
=
4
|z|=4
∣
z
∣
=
4
.
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