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Complex Number Equation Find Expression

1675AdeptComplex NumbersAlgebra

AMC 12B · 2021 · Problem 18

Let $z$ be a complex number satisfying $12|z|^2=2|z+2|^2+|z^2+1|^2+31.$ What is the value of $z+\frac 6z?$

Answer choices

A
-2
B
-1
C
\frac12
D
1
E
4
0 students attempted0% solvedRating 1675

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