SOLUTION: Z + 1/Z = 1 Z ^64 + 1/ Z^64 = ?

Question 105128: Z + 1/Z = 1
Z ^64 + 1/ Z^64 = ?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First off, I'm changing variables because 2 and Z look too much alike and it gets confusing trying to follow.

Let's look at

Using the FOIL method

But from your original equation, you know that

1.
Next, look at

Using the FOIL method

From 1 you know,
1.

2.
You see a pattern here.
Next, look at

From 2 you know,
2.

3.
.
.
.
Let's fast forward.
I'll bet that you can get to this answer by continuing to follow the steps that we followed up until now to get the answer.

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