As z is a complex number let it be x + yi. z' = x - yi.
If z/2 + 3=z'/3 - 2
=> (x + yi)/2 + 3 = (x - yi)/3 - 2
=> (x + yi)/2 - (x -yi)/3 = -5
=> x/2 - x/3 - i( y/2 - y/3) = -5
=> x/2 - x/3 = -5
=> (3x - 2x)/6 = -5
=> x = -30
y = 0 as there is no imaginary component on the opposite side.
Therefore z = -30
See eNotes Ad-Free
Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.
Already a member? Log in here.