Make F the subject of the formula t sqrt frac v... - JAMB Mathematics 1997 Question
Make F the subject of the formula t = (\sqrt{\frac{v}{\frac{1}{f} + \frac{1}{g}}})
A
B
C
D
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Correct Option: B
t = (\sqrt{\frac{v}{\frac{1}{f} + \frac{1}{g}}})
t2 = (\frac{v}{\frac{1}{f} + \frac{1}{g}})
= (\frac{vfg}{ftg})
(\frac{1}{f} + \frac{1}{g}) = (\frac{v}{t^2})
= (g + f)t2 = vfg
gt2 = vfg - ft2
gt2 = f(vg - t2)
f = (\frac{gt^2}{gv-t^2})
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