" 5.(i) "z^(3)+8z^(2)+17z+10

If z= -3 + sqrt2i , then prove that z^(4) + 5z^(3) + 8z^(2) + 7z + 4 is equal to -29

If z = 2 + i, prove that z^(3) + 3z^(2) - 9z + 8 = (1 + 14i) .

If z = -5 + 3i , find the value of (z^(4)+9z^(3)+26z^(2)-14z + 8) .

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 z=3-2i then show that z^(2)-6z+13=0 Hence find the value of z^(4)-4z^(3)+6z^(2)-4z+17

If z = 3- 5i then z^(2) - 10z + 30=

If z_(1) = 3, z_(2) = -7i, and z_(3) = 5 + 4i, show that (z_(1) + z_(2)) z_(3) = z_(1) z_(3) + z_(2) z_(3)

8z^(2)-24z+1z-3

If z=3-5i , then show that z^(3)-10z^(2)+58z-136=0