We know that, \( \Large AM \ge GM \) \( \Large \sqrt{a} + \frac{1}{\sqrt{a}} \ge 2 \) \( \Large \sqrt{x^{2} - x + 1} + \frac{1}{\sqrt{x^{2} - x + 1}} \ge 2 \) \( \Large 2 - x^{2} \ge 2 \) \( \Large x^{2} \le 0 \) => x = 0
