Thursday, September 9, 2010

28th British Mathematical Olympiad 1992 Problems

28th British Mathematical Olympiad 1992 Problems1.  p is an odd prime. Show that there are unique positive integers m, n such that m2 = n(n + p). Find m and n in terms of p. 2.  Show that 12/(w + x + y + z) ≤ 1/(w + x

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