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Seriesly! Sum problems these days.

Let \(x_1, x_2, \ldots, x_{n - 1}\), be the zeroes different from 1 of the polynomial \(P(x) = x^n -1, n \geq 2\).

Prove that

\[\frac {1}{1 - x_1} + \frac {1}{1 - x_2} + \ldots + \frac {1}{1 - x_{n - 1}} = \frac {n - 1}{2}.\]

Note by Sharky Kesa
3 years, 4 months ago

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The key are the RoU. One you do that, it's super simple. More later.

Finn Hulse - 3 years, 4 months ago

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Later? Finn, you have some unfinished work. :P

Sharky Kesa - 3 years ago

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Oh shoot. Thanks for reminding me!

Finn Hulse - 3 years ago

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