Wednesday, October 13, 2010

24th Eötvös Competition Problems 1917

1.  a, b are integers. The solutions of y - 2x = a, y2 - xy + x2 = b are rational. Show that they must be integers. 2.  A square has 10s digit 7. What is its units digit? 3.  A, B are two points inside a given
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