So to find the discriminant of a quadratic equation, the formula is b² - 4ac with a = x² coefficient, b = x coefficient, and c = constant. In this case, our equation is [tex] 12^2-4*9*4 [/tex]
Firstly, solve the multiplications and the exponents: [tex] 144-144 [/tex]
Next, subtract and we find that our discriminant is 0.
*Additional Info: Since the discriminant is zero, this means that this quadratic equation has 1 real solution.