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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. \(T-\frac{K}{V} = S\)
  • E. \(T-\frac{K}{V^2} = S\)
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Correct Answer: Option A
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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