- #1

- 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 dont 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: