Complex Number Ratio Equals 4i

1800SpecialistComplex NumbersAlgebra

AIME I · 2009 · Problem 2

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

0 students attempted0% solvedRating 1800

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1800SpecialistComplex NumbersAlgebra

AIME I · 2009 · Problem 2

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

0 students attempted0% solvedRating 1800