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TR-MO-R1 2020 Problem 27

    x2−x+1=y3x^2 - x + 1 = y^3 ve y2−y=x3y^2 - y = x^3 eşitliklerinin her ikisini de sağlayan kaç farklı (x,y)(x, y) gerçel sayı ikilisi vardır?

    a) 1 b) 2 c) 3 d) 4 e) 5

    Official text Turkish Mathematical Olympiad, first round 2020 official paper, page 14. Quoted with source.

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