An Equation With Absolute Value | Problem 478

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[@scottleung9587]

Got it!

[@yoav613]

Nice problem that i solved in my head😊

[@aplusbi]

I wish I could solve things in my head 😅🤪

[@andreaparma7201]

This is how I like solving this kind of equation:
|z|-4=2i-iz, so that 2i-iz must be a real number, say t. Then
2i-iz=t -> z=2+it
and substituting in the initial equation we get
sqrt(t²+4)=4+t
and we conclude as in the video

[@aplusbi]

That’s cool!

[@mcwulf25]

I started down another method - multiply by the conjugates which gives
|z|^2 + |z|(z - /z)i - |z|^2 = 4^2 + 2^2
2b|z| = 20
But then I watched your video and your method is easier 😂

[@aplusbi]

Conjugates?

[@mcwulf25]

@aplusbi complex ones

[@mimidou8690]

Z= -3i -1

[@draymondgreen7606]

Hello can anyone please tell me what kind of math is this. Trig calculus, physics 🤷

[@aplusbi]

This is Complex Numbers and it’s under Complex Analysis