find `z`. `5-2((z-4)/3) =1/2(2z +3)`

4-(2(z-4))/3=1/2(2z+5)

If z^(1),z^(2) and z^(3),z^(4) are two pairs of conjugate complex number, then find arg 2((z_(1))/(z_(4)))+ ((z_(2))/(z_(3))).

If z_(1)=3 -2i ,z_(2) = 2-i and z_(3) = 2+ 5i then find z_(1) + z_(2) - 2z_(3)

If z_(1)=3 -2i ,z_(2) = 2-i and z_(3) = 2+ 5i then find z_(1) + z_(2) - 2z_(3)

Let z_(1),z_(2),z_(3),z_(4) are distinct complex numbers satisfying |z|=1 and 4z_(3) = 3(z_(1) + z_(2)) , then |z_(1) - z_(2)| is equal to

Let z_(1),z_(2),z_(3),z_(4) are distinct complex numbers satisfying |z|=1 and 4z_(3) = 3(z_(1) + z_(2)) , then |z_(1) - z_(2)| is equal to

let z_1 =1-2i, z_2 =1 and z_3 =3+4i. If z=((1)/z_1+(3)/z_2)(z_3)/z_2 : find |z| , barz and amp z.

If z_(1)=4+5i and z_(2)=-3+2i that (z_(1))/(z_(2)) is :