WAEC - Mathematics (1998 - No. 17)
Make S the subject of the formula: \(V = \frac{K}{\sqrt{T-S}}\)
\(T-\frac{K^2}{V^2} = S\)
\(T+\frac{K^2}{V^2} = S\)
\(T-\frac{K^2}{V} = S\)
\(T-\frac{K}{V} = S\)
\(T-\frac{K}{V^2} = S\)
Explanation
\(V = \frac{K}{\sqrt{T-S}}\)
square both sides of the equation
\(V^2 = \frac{K^2}{T-S}\)
cross multiply
\(V^2 (T - S) = K^2\)
\(T - S = \frac{K^2}{V^2}\)
\(T = \frac{K^2}{V^2} + S\)
\(T = \frac{K^2}{V^2} + S\)
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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