TR-MO-R1 2014 Problem 7

$x$ ve $y$ gerçel sayıları için $(x^2+1)(y^2+1)+9 = 6(x+y)$ ise, $x^2+y^2$ nedir?

a) 7 b) 6 c) 5 d) 4 e) 3

Official text Turkish Mathematical Olympiad, first round 2014 official paper, page 3. Quoted with source.

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