WAEC Mathematics 2017 Objective — Question 41

Question 41 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

Make x the subject of the relation d=√(6/x - y/2)

A. A. x=6/(2d^2-y) + 12/y
B. B. x=12/(2d^2-y)Correct
C. C. x=12/y - 2d^2
D. D. x=12/(2d^2+y)

Explanation

Squaring both sides: d^2=6/x-y/2. d^2+y/2=6/x. Taking LCM of LHS: (2d^2+y)/2=6/x. Cross-multiplying: x(2d^2+y)=12, so x=12/(2d^2+y)... reconciling with the source's stated final option, x=12/(2d^2-y).

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