WAEC Further Mathematics 2025 Objective — Question 23

Question 23 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

If the roots of 3x²-x-1=0 are α and β, find the value of (α²+β²+2/9).

A. Options not legible in the scanned original
B. —
C. —
D. —Correct

Explanation

α+β=1/3, αβ=-1/3. α²+β² = (α+β)²-2αβ = 1/9+2/3 = 7/9. Adding 2/9 gives 7/9+2/9 = 1. (Answer value: 1)

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