Prove that the sum of the roots of the n-th root of 1 is equal to 0. (Just check if i'm right, thx!) | Mathematics | Page 1

random lodge Oct 9, 2022, 10:30 AM

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So basically I just used the sum rule that says $$S = \frac{-\text{coefficient of }z^{n-1}}{\text{coefficient of }z^n} = \frac{-0}{1} = 0$$Is this enough?

cyan girderBOT Oct 9, 2022, 10:30 AM

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violet mesaBOT Oct 9, 2022, 10:31 AM

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cedric_

wraith grotto Oct 9, 2022, 10:38 AM

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not unless you elaborate more. what is z. what polynomial are you considering. stuff like that

random lodge Oct 9, 2022, 10:42 AM

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Alright, so I write everything down we know that we use in the proof. Thanks.
And do you have any recommendation on good books on proofs, like techniques and things to look out for?

wraith grotto Oct 9, 2022, 10:47 AM

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sry, no

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#book-recommendations probably has

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or #books-old

random lodge Oct 9, 2022, 10:48 AM

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ty

sour escarp Feb 24, 2024, 7:45 AM

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.solved

#Prove that the sum of the roots of the n-th root of 1 is equal to 0. (Just check if i'm right, thx!)