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# Complex numbers help

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1. Can anyone help me with part a) at least? Thanks in advance any hep is appreciated.
2. (Original post by ThomsonM98)

Can anyone help me with part a) at least? Thanks in advance any hep is appreciated.
You can express a complex number as x + iy so the question is asking you to solve (x + iy)^4 = i - 3

Expand the brackets, equate real and imaginary parts and solve the simultaneous equations.

I haven't worked through it so I assume that's the right method!
3. (Original post by ThomsonM98)

Can anyone help me with part a) at least? Thanks in advance any hep is appreciated.
Write in polar form then use De-Moivre's theorem.
4. (Original post by Zacken)
Write in polar form then use De-Moivre's theorem.
This will be a much easier way to solve it, ignore my last reply!
5. Wrte in polar form or, as i usually prefer myself, in exponential form. I think in exponential form, De Movire's theorem seems very intuitive that way as it just becomes simple laws of indices.
6. (Original post by B_9710)
Prefer exponential form.
I agree with this, the only drawback is that you have to shove your arguments (which can sometimes be hairy) into the tiny space above your , but that's easily remedied by using instead.

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