Mathematics 2008 JAMB Past Questions - Question 12: Make Q the subject of the formula when L=4/3 M√PQ

Correct Answer

A

Explanation

L = 4/3 m √PQmake Q the subjectL /1 = 4 /3 m √PQtakin the square of both sideTo make Q the subject of the formula when L = (4/3)M√PQ, we can follow these steps:1. Start with the equation: L = (4/3)M√PQ.2. Divide both sides of the equation by (4/3)M to isolate the square root term: L / ((4/3)M) = √PQ.3. Square both sides of the equation to eliminate the square root: (L / ((4/3)M))^2 = PQ.4. Simplify the left side of the equation: (L^2 / ((4/3)M)^2) = PQ.5. Invert the fraction on the right side of the equation: PQ = (L^2 / ((4/3)M)^2).Therefore, Q is the subject of the formula when L = (4/3)M√PQ, and it can be expressed as:Q = (L^2 / ((4/3)M)^2).(3L)sup2 = (4m √PQ)sup29Lsup 2 / 16msup2P = 16msup2PQ / 16msup2 Ptherefore Q = 9Lsup2 / 16msup2 p