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Complex Fraction

Source: AIME 2009I Problem 2

March 18, 2009
AMCAIMEanalytic geometryrotationcomplex numbersgeometrysimilar triangles

Problem Statement

There is a complex number z z with imaginary part 164 164 and a positive integer n n such that \frac {z}{z \plus{} n} \equal{} 4i. Find n n.
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