- #1
mackhina
- 8
- 0
Homework Statement
Find all complex solutions to:
conjugateof(z) = 2*z + (1 - i)
Homework Equations
The Attempt at a Solution
conjugateof(z) = 2*z + (1 - i)
I make:
z = (a + bi)
and
conjugateof(z) = (a - bi)
which gives:
(a - bi) = 2*(a + bi) + (1 - i)
then to find the roots:
0 = a + 3*bi + 1 - i
and that's where I get lost, I get the feeling I'm going in the right direction, but I don't seem to be able to reason out the right answer which in my book is:
z - -1 + (1/3)i
Any help would be heaps appreciated. Thanks in advance!
Cheers
Mick
Last edited: