6x2 – 7x – 13 = 0

(xvii) 6x² – 7x – 13 = 0

Sol. 6x² – 7x – 13 = 0

∴  6x² – 13x + 6x – 13 = 0

∴  x(6x – 13) + 1(6x – 13) = 0

∴  (6x – 13) (x + 1) = 0

∴  6x – 13 = 0 or x + 1 = 0

∴  6x = 13 or x = –1

∴  x = 13/6  or x = –1