Use the discriminant to determine the nature of the roots for each equation.
b) 16x^2 – 24x + 9 = 0
The discriminant for the equation 16x^2 – 24x + 9 = 0 is given by b^2 - 4ac.
Where a = 16, b = -24, and c = 9.
Plugging in these values, the discriminant is:
(-24)^2 - 4(16)(9) = 576 - 576 = 0.
Since the discriminant is equal to zero, this means that the equation has two equal real roots.