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MATH / There is a complex number z with imaginary part 164 and a positive integer n such that (z)/(z+n)=4i.Find n.

Problem

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problem

There is a complex number zz with imaginary part 164164 and a positive integer nn such that zz+n=4i.\frac {z}{z + n} = 4i.Find nn.
Plain-text mathematical notation (without MathML)
There is a complex number z with imaginary part 164 and a positive integer n such that
(z)/(z+n)=4i.Find n.
Original LaTeX notation
There is a complex number $z$ with imaginary part $164$ and a positive integer $n$ such that
$$\frac {z}{z + n} = 4i.$$Find $n$.

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
132ff23e-34e2-570c-859b-84bc804f5c79
task_key
intermediate~5falgebra--test--132ff23e-34e2-570c-859b-84bc804f5c79
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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