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TR-MO-R1 2021 Problem 31

    xy(x−y−1)=6xy(x-y-1)=6 eşitliğini sağlayan xx ve yy pozitif gerçel sayıları için x+yx+y nin alabileceği en küçük değer nedir?

    a) 44 b) 323\sqrt{2} c) 21\sqrt{21} d) 262\sqrt{6} e) 272\sqrt{7}

    Official text Turkish Mathematical Olympiad, first round 2021 official paper, page 16. Quoted with source.

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