Let `z` be a complex number satisfying the equation `(z^3+3)^2=-16` , then find the value of `|z|dot`

Let z be a complex number satisfying |z+16|=4|z+1| . Then

Let z be a complex number satisfying the equation z^2-(3+i)z+m+2i=0,w h e r em in Rdot Suppose the equation has a real root. Then root non-real root.

If complex number z(z!=2) satisfies the equation z^2=4z+|z|^2+(16)/(|z|^3) ,then the value of |z|^4 is______.

If z is any complex number such that |z+4|lt=3, then find the greatest value of |z+1|dot

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

Let z be a complex number having the argument theta, 0 < theta < pi/2 , and satisfying the equation |z-3i|=3. Then find the value of cot theta-6/z

if z is complex no satisfies the condition | Z |>3. Then find the least value of | Z+ 1/ Z |

If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of possible values of z is

Find the complex number z satisfying R e(z^2) =0,|z|=sqrt(3.)

Find the complex number omega satisfying the equation z^3=8i and lying in the second quadrant on the complex plane.