Find complex z satisfying z bar + 1 = i z^2 + |z| ^2
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Find all complex numbers z satisfying
z¯+1=iz2+|z|2z¯+1=iz2+|z|2
where i=−1−−−√i=−1
I only know one way i.e. assuming z=x+iyz=x+iybut that process is very cumbersome. I don't know how to proceed otherwise with a shorter approach.
z¯+1=iz2+|z|2z¯+1=iz2+|z|2
where i=−1−−−√i=−1
I only know one way i.e. assuming z=x+iyz=x+iybut that process is very cumbersome. I don't know how to proceed otherwise with a shorter approach.
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