TR-MO-R1 2018 Problem 23

$x$ ve $y$ gerçel sayılar olmak üzere, $2x + 16y = x^2 + y^2$ eşitliği sağlanıyorsa, $7x + 4y$ nin alabileceği en küçük değer nedir?

a) $-32$ b) $-30$ c) $-28$ d) $-26$ e) $-24$

Official text Turkish Mathematical Olympiad, first round 2018 official paper, page 8. Quoted with source.

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