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TR-MO-R1 2018 Problem 3

    (x2−2x2+7)(y2+2y3+8)=25(x^2 - 2x\sqrt{2} + 7)(y^2 + 2y\sqrt{3} + 8) = 25 denklemini sağlayan kaç farklı (x,y)(x, y) gerçel sayı ikilisi vardır?

    a) 0 b) 1 c) 2 d) 3 e) Sonsuz çoklukta

    Official text Turkish Mathematical Olympiad, first round 2018 official paper, page 3. Quoted with source.

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