Solve the equation `z^(2)=bar(z)` where `z=x+iy`

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

Solve the equation: z^(2)+z+1=0 . Where z=x+iy.

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

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

Solve the equation |z|+z=2+i, where z = x + iy.

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

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

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

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

Let z=x+i y be a complex number where x and y are integers. Then, the area of the rectangle whose vertices are the roots of the equation z bar(z)^3+ bar(z) z^3=350 is