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# [Further Maths FP2] Roots of unity watch

1. Studying nth roots of unity at the moment, and I'm stuck with finding the complex solutions to the following:

16z^4 = (z-1)^4

I get to:

2z = i(z-1)

But don't know where to go from there.
2. (Original post by Haza100)
Studying nth roots of unity at the moment, and I'm stuck with finding the complex solutions to the following:

16z^4 = (z-1)^4

I get to:

2z = i(z-1)

But don't know where to go from there.
post your workings are there are more than 1 method for doing this
3. (Original post by TeeEm)
post your workings are there are more than 1 method for doing this

Solving for real solutions gives z=1/3 and z=-1

Can't seem to rearrange for z to get complex solutions, I must be being stupid... all help appreciated.
4. (Original post by Haza100)

Solving for real solutions gives z=1/3 and z=-1

Can't seem to rearrange for z to get complex solutions, I must be being stupid... all help appreciated.
one approach using elementary techniques you can find on page 35 on this link
5. (Original post by TeeEm)
one approach using elementary techniques you can find on page 35 on this link
Thanks mate, that helped a lot. Haven't done much math recently so stupidly couldn't see how to rearrange it for z.

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