Make S the subject of the formula: \(V =…

Question 1 Report

Make S the subject of the formula: \(V = \frac{K}{\sqrt{T-S}}\)

\(T-\frac{K^2}{V^2} = S\)

\(T+\frac{K^2}{V^2} = S\)

\(T-\frac{K^2}{V} = S\)

\(T-\frac{K}{V} = S\)

\(T-\frac{K}{V^2} = S\)

Answer Details

To make S the subject of the formula, we need to isolate S on one side of the equation by performing operations on both sides of the equation. We begin by multiplying both sides by \(\sqrt{T-S}\), then we multiply both sides by \(\frac{V^2}{K}\) to obtain: \begin{align*} V &= \frac{K}{\sqrt{T-S}} \\ V\sqrt{T-S} &= K \\ T-S &= \left(\frac{K}{V}\right)^2 \\ S &= T-\left(\frac{K}{V}\right)^2 \\ \end{align*} Therefore, the answer is \(T-\left(\frac{K}{V}\right)^2 = S\).

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Change Of Subject Of A Formula/Relation

Quadratic Equations

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Make S the subject of the formula: \(V = \frac{K}{\sqrt{T-S}}\)

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