MathDB
swiss tst

Source: Swiss IMO Team Selection Test 1997

May 7, 2017
combinatorics

Problem Statement

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|
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