Solve for `z : z^2-(3-2i)z+(5i-5)dot`

Solve the following for z: z^(2)-(3-2i)z=(5i-5)

Solve for z: (2z)/(5) + 6 = z -3

Let z be a complex number satisfying (3+2i) z +(5i-4) bar(z) =-11-7i .Then |z|^(2) is

If (1-i) is a root of the equation z^(3)-2(2-i)z^(2)+(4-5i)z-1+3i=0 then find the other two roots.

Solve the equation |z| + z = (2 + i) for complex value of z.

If z = i(i + sqrt(2)) , then value of z^(4) + 4z^(3) + 6z^(2) + 4z is

Let z_(1), z_(2), z_(3) be the roots of iz^(3) + 5z^(2) - z + 5i = 0 , then |z_(1)| + |z_(2)| + |z_(3)| = _____________.

If conjugate of a complex number z is (2+5i)/(4-3i) , then |Re(z) + Im(z)| is equal to ____________

Radius of the circle z bar(z) + (2 + 5.5 i) z + (2-5.5 i) bar(z) + 4 = 0 is ___________