Use the discriminant to determine what type of roots the equations will have, and categorize the equations according to their roots.
two distinct roots, one repeated root, two complex roots
x^2 − 4x + 2 = 0
5x^2 − 2x + 3 = 0
2x^2 + x − 6 = 0
13x^2 − 4 = 0
x^2 − 6x + 9 = 0
x^2 − 8x + 16 = 0
4x^2 + 11 = 0