Question 12

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Jambmaths question: 

Make R the subject of the formula if  $T=\frac{K{{R}^{2}}+M}{3}$

Option A: 

$\sqrt{\frac{3T+K}{M}}$

Option B: 

$\sqrt{\frac{3T-M}{K}}$

Option C: 

$\sqrt{\frac{3T+M}{K}}$

Option D: 

$\sqrt{\frac{3T-K}{K}}$

Jamb Maths Solution: 

$\begin{align}  & T=\frac{K{{R}^{2}}+M}{3} \\ & \text{Multiply both sides by 3} \\ & 3T=K{{R}^{2}}+M \\ & \text{Subtract M}\text{from both sides} \\ & 3T-M=K{{R}^{2}} \\ & \text{Divide both sides by }K \\ & \frac{3T-M}{K}={{R}^{2}} \\ & \text{Take the square root of both sides} \\ & R=\sqrt{\frac{3T-M}{K}} \\\end{align}$

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