If P = ≤ft(Q(R - T)/15)¹/3}, make T the subject of the formula.

Correct Answer is : T=R−15P3QT = R - 15P³/QT=R−Q15P3

Correct Answer is : T=R−15P3QT = R - 15P³/QT=R−Q15P3

Test Index

JAMB Mathematics 2019 Paper

Question : 44

Total: 73

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

, make T the subject of the formula.

Solution:

Concept:

Cubing both sides removes the cube root, then rearrange to isolate

T

Explanation:

Start with

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

Cube both sides:

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

Multiply both sides by

15

15P^3 = Q(R - T)

Divide both sides by

Q

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

Add

T

and subtract

\frac{15P^3}{Q}

from both sides:

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

Answer:

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

This matches option B.

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