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## Homework Statement

Solve each equation for z=a+ib

[itex] z^{*2}=4z [/itex]

where z* is the complex conjugate

## The Attempt at a Solution

I wrote z and z* in terms of x and iy , and tried solving for x and y, but I get quartic terms for y, it doesnt look like it will boil down, It was like over 2 pages of algera, I dont think that is how it is supposed to be done, I tired some alternative forms of the modulus and it didnt go anywhere, Are my approaches the right way, or do I need some clever substitution, or can it be solved with Eulers formula ?