TR-MO-R1 2014 Problem 11

Sadece bir $x$ gerçel sayısı için $x^2 + ax + 1$ ifadesinin negatif bir tam sayı değer almasını sağlayan $a$ gerçel sayılarının çarpımı nedir?

a) $-1$ b) $-2$ c) $-4$ d) $-6$ e) $-8$

Official text Turkish Mathematical Olympiad, first round 2014 official paper, page 4. Quoted with source.

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