Work out the discriminant for each equation and then determine whether each equation has two distinct roots, equal roots or no real roots.

a) 2x² – 3x + 4 = 0

b) 5x² – 11x + 4 = 0 -

c) x² + 12x + 36 = 0

d) 2x² + x – 2 = 0

e) 4x² + 5x + 2 = 0

f) 4x² – 12x + 9 = 0

g) 7x² – 2x + 1 = 0

h) x² – 6x + 7 = 0

i) 2x – 4x² = 0

j) 6x² = 6x – 1

k) 16x² = 24x – 9 

l) (x + 2)² – 8x – 2 = 0