3x2 – x – 10 = 0

(xii) 3x² – x – 10 = 0

Sol. 3x² – x – 10 = 0

∴  3x² – 6x + 5x – 10 = 0

∴  3x(x – 2) + 5(x – 2) = 0

∴  (x – 2) (3x + 5) = 0

∴  x – 2 = 0 or 3x + 5 = 0

∴  x = 2 or 3x = –5

∴  x = 2 or x = ^–5/₃