WAEC - Mathematics (2000 - No. 34)

Make t the subject of formula \(k = m\sqrt{\frac{t-p}{r}}\)
\(\frac{rk^2 + p}{m^2}\)
\(\frac{rk^2+pm^2}{m^2}\)
\(\frac{rk^2-p}{m^2}\)
\(\frac{rk^2-p^2}{m^2}\)

Explanation

\(k = m\sqrt{\frac{t - p}{r}}\)

\(\frac{k}{m} = \sqrt{\frac{t - p}{r}}\)

\((\frac{k}{m})^2 = \frac{t - p}{r}\)

\(rk^2 = m^2 (t - p)\)

\(\therefore m^2 t = rk^2 + m^2 p\)

\(t = \frac{rk^2 + m^2 p}{m^2}\)

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