3x2 + 34x + 11 = 0

(xviii) 3x² + 34x + 11 = 0

Sol. 3x² + 34x + 11 = 0

∴  3x² + 33x + x + 11 = 0

∴  3x (x + 11) + 1 (x + 11) = 0

∴  (x + 11) (3x + 1) = 0

∴  x + 11 = 0 or 3x + 1 = 0

∴  x = – 11 or 3x = – 1

∴  x = – 11 or x = –1/3