Use the discriminant, $LaTeX: \displaystyle b^2-4ac$ to determine the number and type of solutions to the equation $LaTeX: \displaystyle 9 x^{2} - 24 x + 16 = 0$ . No points will be given if the discriminant is not used.

Since the discriminant is $LaTeX: \displaystyle b^2-4ac=(-24)^2-4(9)(16)=0$ and is zero, the equation has one (repeated) real solution.