Make S the subject of the formula: \(V = \frac{K}{\sqrt{T-S}}\)
-
\(T-\frac{K^2}{V^2} = S\)
- \(T+\frac{K^2}{V^2} = S\)
- \(T-\frac{K^2}{V} = S\)
- \(T-\frac{K}{V} = S\)
- \(T-\frac{K}{V^2} = S\)
The correct answer is: A
Explanation
\(V = \frac{K}{\sqrt{T-S}}\)
square both sides of the equation
\(V^2 = \frac{K^2}{T-S}\)
cross multiply
\(V^2 (T - S) = K^2\)
\(T - S = \frac{K^2}{V^2}\)
\(T = \frac{K^2}{V^2} + S\)
\(T = \frac{K^2}{V^2} + S\)