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3x2 – 11x + 6 = 0


(xix) 3x2 – 11x + 6 = 0

Sol. 3x2 – 11x + 6 = 0

∴  3x2 – 9x – 2x + 6 = 0

∴  3x(x – 3) – 2(x – 3) = 0

∴  (x – 3) (3x – 2) = 0

∴  x – 3 = 0 or 3x – 2 = 0

∴  x = 3 or 3x = 2


∴  x = 3 or x = 2/3