To determine the discriminant of the quadratic equation 6x^2 - 4x - 9 = 0, we can use the formula:
Discriminant (D) = b^2 - 4ac
In this case, a = 6, b = -4, and c = -9. Substituting these values into the formula, we have:
D = (-4)^2 - 4(6)(-9)
= 16 + 216
= 232
Therefore, the discriminant of the quadratic equation 6x^2 - 4x - 9 = 0 is 232.