18. (i z)(1 +2i) (1 iz) (3-4) 1 +7i z 3 102 58 136 0.

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

if z = (sqrt 3 ) /(2) + (i)/(2) ( i=sqrt ( -1) ) , then ( 1 + iz + z^5 + iz^8)^9 is equal to:

if z = (sqrt 3 ) /(2) + (i)/(2) ( i=sqrt ( -1) ) , then ( 1 + iz + z^5 + iz^8)^9 is equal to:

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

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)

Let A = {z : z in C, iz^(3) + z^(2) -z + i=0} and B ={z : z in C, |z|=1} , Then

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

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

If z_1 = 4 - 7i , z_2 = 2 + 3i and z_3 = 1 + i show that z_1 + (z_2 + z_3) = (z_1 + z_2)+z_3