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TR-MO-R1 2019 Problem 15

    2x2+y2=12x^2 + y^2 = 1 eşitliğini sağlayan (x,y)(x, y) gerçel sayı ikilileri için 2x+y2x + y toplamının alabileceği en büyük değer kaçtır?

    a) 1 b) 2\sqrt{2} c) 3\sqrt{3} d) 2 e) Hiçbiri

    Official text Turkish Mathematical Olympiad, first round 2019 official paper, page 8. Quoted with source.

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