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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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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