What is the smaller root of $6x^2 - x - 2 = 0$?

Explanation

1. 01

   Discriminant $= 1 + 48 = 49$, whose square root is 7.

2. 02

   $x = \frac{1 \pm 7}{12}$, giving $\frac{8}{12} = \frac{2}{3}$ or $\frac{-6}{12} = -\frac{1}{2}$.

3. 03

   The smaller root is $-\frac{1}{2}$.