x^2 + x + 1 = 0基本思路：1.复数解; 2.公式应用：(cosθ + i*sinθ)^n = cos(nθ) + i*sin(nθ)复数x1 = -0.5 + i*(√3)/2 = cosα + i*sinαx2 = -0.5 - i*(√3)/2 = cosβ + i*sinβα= (2/3)πβ= (4/3)π2003*...