What are the solutions of this quadratic equation 3x2 - x equals 11?

To solve the quadratic equation (3x^2 - x = 11), first rearrange it to standard form: (3x^2 - x - 11 = 0). Next, use the quadratic formula (x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}), where (a = 3), (b = -1), and (c = -11). Calculating the discriminant, we find (b^2 - 4ac = 1 + 132 = 133). Thus, the solutions are (x = \frac{1 \pm \sqrt{133}}{6}).