JAMB - Mathematics (1986 - No. 26)

make v the subject of the formula S = \(\sqrt{\frac{6}{v} - \frac{w}{2}}\)
v = \(\frac{12}{2s^2}\)
v = \(\frac{12}{2s+ w}\)
v = \(\frac{12}{2s^2 + w}\)
v = \(\frac{12}{2s^2}\) + w

Explanation

S = \(\sqrt{\frac{6}{v} - \frac{w}{2}}\)

S = \(\frac{12 - vw}{2v}\)

2vs\(^2\) = 12 - vw

v(2s\(^2\) + w) = 12

v = \(\frac{12}{2s^2 + w}\)

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