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varitero5w

varitero5w

Answered question

2022-06-20

Give a complete non-redundant list of elements x C such that x 10 + x 5 + 1 = 0

Answer & Explanation

scoseBexgofvc

scoseBexgofvc

Beginner2022-06-21Added 20 answers

Since x 10 + x 5 + 1 = x 15 1 x 5 1 , root of x 10 + x 5 + 1 = 0 must be root of x 15 1 = 0, but not root of x 5 1 = 0. x 5 1 = 0 x 10 + x 5 + 1 = 0 has no common root.
So, the zero set of x 10 + x 5 + 1 is { e 2 n i π 15 3 n Z } .
Because the zero set of x 15 1 = 0 is { e 2 n i π 15 n Z }, and the zero set of x 5 1 = 0 is { e 2 n i π 5 n Z }

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