TR-MO-R1 2011 Problem 7

$x_1$ ve $x_2$ sayıları $x^2 + 5x - 7 = 0$ denkleminin farklı gerçel kökleri ise, $x_1^3 + 5x_1^2 - 4x_1 + x_1^2 x_2 - 4x_2$ nedir?

a) $-15$ b) $175 + 25\sqrt{53}$ c) $-50$ d) $20$ e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2011 official paper, page 3. Quoted with source.

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