# expand on equations 1 and 2

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see attached please expand on and explain the attached work

ie how does one make the transformations shown in equation 1 and 2 and 3...please show this work in complete, painful detail

I have given this as a new post as I believe it is outside the original post

Â© BrainMass Inc. brainmass.com March 4, 2021, 11:46 pm ad1c9bdddfhttps://brainmass.com/math/complex-analysis/expand-on-equations-453610

#### Solution Preview

Problem:

There are 2 complex numbers Z that satisfy Z^n = 1 and {(Z+1)^n} =1 (n not equal to 0) for some positive integer n. Find Z.

Solution:

Every complex number z can be expressed in the exponential form

( 1)

which comes from the common algebraic form

( 2)

If we represent the complex number z in the xOy plane, we observe that

( 3)

so that the expression (2) becomes:

( 4)

Using ...

#### Solution Summary

The expert determines how one makes the transformations shown in equation 1 and 2.

$2.49