x² - 3x + 1 = 0

The equation is a quadratic equation of the form ax² + bx + c = 0. The discriminant D = b² - 4ac. In this case, a=1, b=-3, c=1. D = (-3)² - 4(1)(1) = 9 - 4 = 5. The roots are x = (-b ± √D) / 2a. So, x = (3 ± √5) / 2.