Use the discriminate to determine the number and the nature of the solutions of the giving equation

3x^2+4x-8=0

The discriminant is the numbers under the radical portion of the quadratic equation;

So, it is b^2 - 4ac

In the equation, a=3, b = 4, and c = - 8, so you get 4^2 - 4 (3) (-8) = 16 - - 96 = 112

A positive discriminant indicates that the quadratic has two distinct real number solutions.