WAEC Further Mathematics 2025 Objective — Question 14
Question 14 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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If m and n are the roots of x²+kx+4=0 and m²+n²=8, find the positive value of k.
- A. 1
- B. 2
- C. 3
- D. 4Correct
Explanation
mn=4 and m+n=-k. Since (m+n)²=m²+n²+2mn, k²=8+2(4)=16, so k=±4. The positive value is 4.
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