Make F the subject of the formula \( t = \sqrt{\frac{v}{\frac{1}{f}+\frac{1}{g}}} \)

Assessment: JAMB UTME - Mathematics - 1997 Subject: General Mathematics

Question 1 Report

\frac{g v - t^{2}}{g t^{2}}

\frac{g t^{2}}{g v - t^{2}}

\frac{v}{\frac{1}{t^{2}} - \frac{1}{g}}

\frac{g v}{t^{2} - g}

Answer Details

t =

\sqrt{\frac{v}{\frac{1}{f} + \frac{1}{g}}}

t2 =

\frac{v}{\frac{1}{f} + \frac{1}{g}}

\frac{v f g}{f t g}

\frac{1}{f} + \frac{1}{g}

\frac{v}{t^{2}}

= (g + f)t2 = vfg
gt2 = vfg - ft2
gt2 = f(vg - t2)
f =

\frac{g t^{2}}{g v - t^{2}}

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