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Find a primitive third root of unity e F7, then verify by direct computation that (5 - 5)? = -3 in F7 Find a primitive eight root of unity ( e F17, then verify by direct computation that (S +s")? = 2 in F17. Find a primitive fifth root of unity ( e F11, then verify by direct computation that (S + 5ª – s² – s³)² = 5 in F11.

Find a primitive third root of unity e F7, then verify by direct computation that (5 - 5)? = -3 in F7 Find a primitive eight root of unity ( e F17, then verify by direct computation that (S +s")? = 2 in F17. Find a primitive fifth root of unity ( e F11, then verify by direct computation that (S + 5ª – s² – s³)² = 5 in F11.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find a primitive third root of unity ( e F7, then verify by direct computation that (5² - 5)² = -3 in F7 Find a primitive eight root of unity e F17, then verify by direct computation that (5 +s")² = 2 in F17. Find a primitive fifth root of unity (e F11, then verify by direct computation that (5 +5ª – 5² – 5³)² = 5 in F11.
Transcribed Image Text:Find a primitive third root of unity ( e F7, then verify by direct computation that (5² - 5)² = -3 in F7 Find a primitive eight root of unity e F17, then verify by direct computation that (5 +s")² = 2 in F17. Find a primitive fifth root of unity (e F11, then verify by direct computation that (5 +5ª – 5² – 5³)² = 5 in F11.
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