2x2 – 5x – 3 = 0

(xiii) 2x² – 5x – 3 = 0

Sol. 2x² – 5x – 3 = 0

∴  2x² – 6x + x – 3 = 0

∴  x(x – 3) + 1(x – 3) = 0

∴  (x – 3) (2x + 1) = 0

∴  x – 3 = 0 or 2x + 1 = 0

∴  x = 3 or 2x = –1

∴  x = 3 or x = ^–1/₂