Question

For the function f(x)=3x2−4x−4,a. Calculate the discriminant.b. Determine whether there are 0, 1, or 2 real solutions to f(x)=0.

Answer 1

a) Using the formula for the discriminant we get:

`\begin{gathered} \Delta=(-4)^2-4(3)(-4), \\ \Delta=16+48, \\ \Delta=64. \end{gathered}`

The discriminant is 64.

b) Based on the above result we know that the f(x)=0 has 2 real solutions,