- #1

CheesyPeeps

- 36

- 2

## Homework Statement

I've used z* to mean z conjugate.

Given the equation z + 2iz* = 8 + 7i, express z in the form a + ib.

From SQA Advanced Higher Mathematics 2005 Exam Paper

## Homework Equations

n/a

## The Attempt at a Solution

I substituted a+ib and its conjugate in for z and z*, which, after some rearranging, gave me z =-3-15i.

I am not sure if that's the correct answer, and I'm a bit suspicious of how straightforward that method was. The question is worth 4 marks, which seems an awful lot for not much work. Have I missed something?