Find number of all complex numbers z satisfying `bar(z) =iz^2`

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

Find all complex numbers satisfying barz = z^2 .

Find all complex number z satisfying bar(z)+1=iz^(2)+|z|^(2)

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

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

Find number of values of complex numbers omega satisfying the system of equation z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find number of values of complex numbers omega satisfying the system of equaltion z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find number of values of complex numbers omega satisfying the system of equaltion z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

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