JSCE Mathematics 2023 Objective — Question 67

Question 67 of 80 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

If √((2m − n)/q) = r/s make m the subject of the formula.

A. m = (qr + s²n)/2s
B. m = (qr² + s²n)/2s²Correct
C. m = (sn + qr)/2s²
D. m = (s²m + s²n)/2s

Explanation

Square both sides: (2m − n)/q = r²/s². 2m = qr²/s² + n, so m = (qr² + s²n)/(2s²).

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