Show all work to solve 3x^2-5x-2=0

The roots are {2, -1/3}

Step-by-step explanation:

The coefficients of this quadratic function are a = 3, b = -5 and c = -2.

Let's use the quadratic formula to find the roots of the given 3x^2-5x-2=0.

The discriminant is b^2 - 4(a)(c), or (-5)^2 - 4(3)(-2), or 25 + 24 = 49.

Thus, the roots are:

      -(-5)±√49        5 ± 7

x = = = 2 and -1/3

          2(3)                  6