NECO 2022 · Paper 1 · Q27

Find the values of xx in the equation 3x2−8x−3=03x^2 - 8x - 3 = 0.

Worked solution (try it first)
  1. Factorise: 3x2−8x−3=(3x+1)(x−3)3x^2 - 8x - 3 = (3x + 1)(x - 3).
  2. Set each factor to zero: 3x+1=03x + 1 = 0 gives x=−13x = -\frac{1}{3}, and x−3=0x - 3 = 0 gives x=3x = 3, option D.

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