Find the non-zero complex numbers `z` satisfying ` z =i z^2dot`

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

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

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

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 ?

Le z_(1) and z_(2) be non-zero complex numbers satisfying the equation,z_(1)^(2)-2z_(1)z_(2)+2z_(2)^(2)=0. The geometrical nature of the triangle whose vertices are the origin and the points representing z_(1), and z_(2) is

The complex number z satisfying z+|z|=1+7i then |z|^(2)=

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