Solve `bar(z)=iz^(2)` (z being a complex number)

Solve : barz=iz^2 (z being a complex number)

Solve : |z|+z=2+i (z being a complex number)

Number of solutions of the equation z^(3)+(3(bar(z))^(2))/(|z|)=0 where z is a complex number is

Solve |z|+z= 2+ i , where z is a complex number

The set {Re((2iz)/(1-z^(2))):z is a complex number,|z|=1,z=+-1}

Solve for z: bar (z) = iz ^ (2)

Solve the equation, z^(2) = bar(z) , where z is a complex number.

If w=|z|^(2)+iz^(2), where z is a nonzero complex number then

Solve the equation z^(2)+|z|=0, where z is a complex number.

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 ?