WAEC Mathematics 2025 Objective — Question 15
Question 15 of 51 from the West African Examinations Council (WAEC) Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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Find the quadratic equation whose roots are 1/2 and -1/3.
- A. 3x^2 + x + 1 = 0
- B. 6x^2 + x - 1 = 0
- C. 3x^2 + x - 1 = 0
- D. 6x^2 - x - 1 = 0Correct
Explanation
Sum of roots = 1/2 - 1/3 = 1/6; product of roots = (1/2)(-1/3) = -1/6. Equation: x^2 - (sum)x + product = 0 => x^2 - x/6 - 1/6 = 0. Multiplying by 6: 6x^2 - x - 1 = 0.
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