Tuesday, October 5, 2010

4th Junior Balkan Mathematical Olympiad Problems 2000

1.  x and y are positive reals such that x3 + y3 + (x + y)3 + 30xy = 2000. Show that x + y = 10. 2.  Find all positive integers n such that n3 + 33 is a perfect square. 3.  ABC is a triangle. E, F are
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