What is the nature of the roots of $4x^2 - 12x + 9 = 0$?

Explanation

1. 01

   Discriminant $= (-12)^2 - 4 \times 4 \times 9 = 144 - 144 = 0$.

2. 02

   A zero discriminant means two equal real roots. Here $4x^2 - 12x + 9 = (2x - 3)^2$, so both roots are $\frac{3}{2}$.