JAMB - Mathematics (2018 - No. 15)

Make T the subject of the relation.

T = \(\frac{R + P3}{15Q}\)
T = \(\frac{R - 15P^3}{Q}\)
T =R - \(\frac{15P^3}{Q}\)
T = \(\frac{15R + Q}{P^3}\)

Explanation

P = (\(\frac{Q( R - T )}{ 15})^\frac{1}{3}\)

take cube of both sides

\(P^3 =\frac{Q( R - T)}{ 15}\)

cross multiply

\(15P^3 = Q( R - T)\)

\(\frac{15P^3}{Q}\) = R - T 

T = R - \(\frac{15P^3}{Q}\) 

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