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WAEC Further Mathematics 2024 Question 21

Question 21

Polynomials

Find the range of values of x for which 9x − 1 > 14x2.

  1. A.1/7 < x < 1/2
  2. B.−1/7 < x < 1/2
  3. C.x ≤ −1/7 or x ≥ 1/2
  4. D.x ≤ 1/7 or x ≥ 1/2
Show the answer and explanation

Answer: A (1/7 < x < 1/2)

Explanation

Rearrange: 14x² − 9x + 1 < 0, i.e. (7x − 1)(2x − 1) < 0. This holds between the roots: 1/7 < x < 1/2.