The nonzero complex number `Z` satisfying `Z=iZ^(2)` is

Find the non-zero complex numbers z satisfying z=iz^(2)

Let z_(1),z_(2) and z_(3) be non-zero complex numbers satisfying z^(2)=bar(iz), where i=sqrt(-1). What is z_(1)+z_(2)+z_(3) equal to ?

The number of complex number Z satisfying the conditions |(Z)/(bar(z))+(bar(Z))/(Z)|=1,|Z|=1 and arg(z)=(0,2 pi) is

Find all non zero complex numbers z satisfying barz=iz^2

Modulus of nonzero complex number z satisfying bar(z)+z=0 and |z|^(2)-4zi=z^(2) is

The number of complex numbers z which satisfy z^(2) + 2|z|^(2) = 2 is

Number of complex numbers satisfying z^(3)=bar(z) is

The number of complex numbers satisfying (1 + i)z = i|z|

The number of complex number z satisfying the equations |z|-4=|z-i|-|z+5i|=0 is