You are Here: Home >< Maths

# Complex Numbers watch

1. For this question, I'm just wondering whether there is a much simpler way to solve for x and y rather than treating the 2 fractions separately and multiplying by the complex conjugates for each.
2. (Original post by As_Dust_Dances_)

For this question, I'm just wondering whether there is a much simpler way to solve for x and y rather than treating the 2 fractions separately and multiplying by the complex conjugates for each.
In this case, yes there is.

Move the 1/(1+2i) to the RHS via subtraction.

Put the RHS over a common denominator and simplify.

Invert both fractions and simplify the RHS.
3. First write

Then multiply the top and bottom of the RHS by ...might save a little time.
4. (Original post by jb444)
First write

Then multiply the top and bottom of the RHS by ...might save a little time.
Unfortunately I don't have the answer at hand, but I'm getting x = 1 and y = -1/2 (is this correct from your calculations?)
5. (Original post by As_Dust_Dances_)
Unfortunately I don't have the answer at hand, but I'm getting x = 1 and y = -1/2 (is this correct from your calculations?)
Yes.
6. (Original post by ghostwalker)
Yes.

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: March 30, 2013
Today on TSR

### Edexcel C3 Maths Unofficial Markscheme

Find out how you've done here

### 3,263

students online now

Exam discussions

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams