Someone help me in APOLLONIUS circles in complex numbers

I did a question and my solution was quite long. I read its solution and there was something mentioned about APOLLONIUS circle, that went over me. So I request a brilliantian to tell me about it and how can I use it for JEE. The question was :- Find the complex numbers equidistant from the roots of the equation (z+2)^4 + 16z^4=0

#Algebra

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
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`\sum_{i=1}^3`	$\sum_{i=1}^3$
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Comments

@Azhaghu Roopesh M Please help him!

User 123 - 6 years, 2 months ago

Here's the Wolfram Math World page and here's a short pdf on Complex Analysis where you'll be able to understand it easily :)

I don't think we'd be needing Complex Analysis to clear JEE but if it's all the same to you , learn it . It's not that difficult!

A Former Brilliant Member - 6 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$