WAEC Further Mathematics 2022 Theory — Question 2

Question 2 of 15 from the West African Examinations Council (WAEC) Further Mathematics 2022 Theory paper, with the correct answer and a full explanation.

2. Solve 2²ʳ⁺¹ − 5(2ʳ) + 2 = 0.

Model answer

Let P=2ʳ. Then 2P²−5P+2=0, which factorises as (2P−1)(P−2)=0, giving P=½ or P=2. When P=2: 2ʳ=2¹, so r=1. When P=½: 2ʳ=2⁻¹, so r=−1. Thus r = 1 or r = −1.

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