4.5 Quadratic Equations

Here $a=1, b=1, c=1$. Discriminant $D = 1^2 - 4(1)(1) = 1 - 4 = -3$. Roots: $x = \frac{-1 \pm \sqrt{-3}}{2} = \frac{-1 \pm i\sqrt{3}}{2}$ Note: These are the complex cube roots of unity, often denoted $\omega$ and $\omega^2$.