1. Other
  2. Other
  3. hint for part b multiply out the inequality you proved...

Question: hint for part b multiply out the inequality you proved...

Question details

Exercise 2.4.5. In this exercise you will give a different proof that there are exactly 4 4th roots of unity, by showing that any complex apart from 1, -1, i, or -i cannot possibly be a 4th root of unity. First we suppose that w is a complex number such that w 똔 { 1,-1, i,-j. Show that (w-1)(w + 1)(w-i)(w + i) 0. Hint 2.6 Show that this implies that w is not a 4th root of unity. Hint 2.6 a. b.(hint: for part (b), multiply out the inequality you proved in part (a)).

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution