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TR-MO-R1 2009 Problem 15

    ∣x∣+∣y∣=13|x| + |y| = 13 eşitliğini sağlayan (x,y)(x, y) gerçel sayı ikilileri için, x2+7x−3y+y2x^2 + 7x - 3y + y^2 ifadesi aşağıdaki değerlerden hangisini alamaz?

    a) 208208 b) 15215\sqrt{2} c) 352\dfrac{35}{2} d) 3737 e) Hiçbiri

    Official text Turkish Mathematical Olympiad, first round 2009 official paper, page 5. Quoted with source.

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