Make t the subject of k = \(m \sqrt \frac{t-p}{r}\)
A
\(\frac{k^2r + p}{m^2}\)
B
\(\frac{k^2r + pm^2}{m^2}\)
C
\(\frac{k^2r - p}{m^2}\)
D
\(\frac{k^2r + p^2}{m^2}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
square both sides to remove the square root
k\(^2\) = m\(^2\) \(\frac{t-p}{r}\)
\(\frac{k^2r}{m^2}\) = t - p
t = \(\frac{k^2r}{m^2}\) + p
t = \(\frac{k^2r + pm^2}{m^2}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #64820)