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# FP1 - Complex numbers (proof) question watch

1. This is the question:

Given that and prove that

Attempt:

Expanding and comparing coefficients:

I assumed there would be some substitution for y:

so

which just seems like a dead end?
2. (Original post by SkyJP)
This is the question:

Given that and prove that

Attempt:

Expanding and comparing coefficients:

I assumed there would be some substitution for y:

so

which just seems like a dead end?
Think about Modulus. And equating real and imaginary parts.
3. (Original post by SkyJP)
This is the question:

Given that and prove that

Attempt:

Expanding and comparing coefficients:

I assumed there would be some substitution for y:

so

which just seems like a dead end?
continue from there
4. (Original post by zetamcfc)
Think about Modulus. And equating real and imaginary parts.
Thanks a lot, but why does this work? (don't really understand tbh)

From before:

5. (Original post by SkyJP)
Thanks a lot, but why does this work? (don't really understand tbh)
In what way? I would advise drawing an Argand Diagram to allow you to see what is going on.

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