WAEC Further Mathematics 2024 Objective — Question 11

Question 11 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2024 Objective paper, with the correct answer and a full explanation.

11. Solve: 2^(2x) - 5(2^x) + 4 = 0.

A. x=0 and 2Correct
B. x=1 and 2
C. x=0 and 1
D. x=2 and 4

Explanation

Let u=2^x: u^2-5u+4=0 => (u-4)(u-1)=0 => u=4 or u=1. So 2^x=4=2^2 or 2^x=1=2^0, giving x=2 or x=0.

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