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The function

f(z)=(−1+i3–√)z+(−23–√−18i)2f(z)=(−1+i3)z+(−23−18i)2

represents a rotation around some complex number c. Find c.

I don't know how to proceed, help would be appreciated.

Thank you :)

 Jan 25, 2021
 #1
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Could you clarify please, re the square root signs and the missing f(z) at the end.

 Jan 25, 2021
 #2
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A rotation is of the form y - c = e^(i*theta)*(z - c).  Solving for c, we get c = 5 - 2i.

 Jan 25, 2021

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