JAMB - Mathematics (2019 - No. 44)
If \(P = (\frac{Q(R - T)}{15})^{\frac{1}{3}}\), make T the subject of the formula.
\(T = \frac{15R - Q}{P^3}\)
\(T = R - \frac{15P^3}{Q}\)
\(T = \frac{R - 15P^3}{Q}\)
\(T = \frac{R + P^3}{15Q}\)
Explanation
\(P = (\frac{Q(R - T)}{15})^{\frac{1}{3}}\)
\(P^3 = \frac{Q(R - T)}{15}\)
\(Q(R - T) = 15P^3\)
\(R - T = \frac{15P^3}{Q}\)
\(T = R - \frac{15P^3}{Q}\)
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