Make S the subject of the formula: \(V = \frac{K}{\sqrt{T-S}}\)
MATHEMATICS
WAEC 1998
Make S the subject of the formula: \(V = \frac{K}{\sqrt{T-S}}\)
- A. \(T-\frac{K^2}{V^2} = S\)
- B. \(T+\frac{K^2}{V^2} = S\)
- C. \(T-\frac{K^2}{V} = S\)
- D. \(T-\frac{K}{V} = S\)
Correct Answer: A. \(T-\frac{K^2}{V^2} = S\)
Explanation
\(V = \frac{K}{\sqrt{T-S}}\)
square both sides of the equation
\(V^2 = \frac{K^2}{T-S}\)
cross multiply
\(V^2 T - S = K^2\)
\(T - S = \frac{K^2}{V^2}\)
\(T = \frac{K^2}{V^2} + S\)
\(T - = \frac{K^2}{V^2} = S\)
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