MathDB

4

Part of 1997 Switzerland Team Selection Test

Problems(1)

swiss tst

Source: Swiss IMO Team Selection Test 1997

5/7/2017
4. Let vv and ww be two randomly chosen roots of the equation z1997−1=0z^{1997} -1 = 0 (all roots are equiprobable). Find the probability that 2+3≤∣u+w∣\sqrt{2+\sqrt{3}}\le |u+w|
combinatorics