In order to find the number and type of solutions, let's calculate the value of the discriminant Delta in the quadratic formula:

Now, let's calculate the solutions of the equation:
![\begin{gathered} x=\frac{-b\pm\sqrt[]{\Delta}}{2a} \\ x_1=(12+8)/(8)=(20)/(8)=2.5 \\ x_2=(12-8)/(8)=(4)/(8)=0.5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4ybq19g1jtsqn7p6lf08p6cdwv8f5ac7m9.png)
We have two rational solutions, therefore the correct option is the fourth one.