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TR-MO-R1 2008 Problem 10

    xy−71x+30=0\sqrt{xy} - 71\sqrt{x} + 30 = 0 denkleminin pozitif tamsayılarda kaç tane (x,y)(x, y) çözüm ikilisi vardır?

    a) 8 b) 18 c) 72 d) 2130 e) Sonsuz Sayıda

    Official text Turkish Mathematical Olympiad, first round 2008 official paper, page 4. Quoted with source.

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