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

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

if iz^3+z^2-z+i=0 then show that absz=1

If iz^3+z^2-z+i = 0 , then show that |z|=1.

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

Show that if iz^(3)+z^(2)-z+i=0, then |z|=1

If iz^(3)+z^(2)-z+i=0 then show that |z|=1.

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-5i)/(Z+5i)|=1 ,then show that Z in R

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)

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