Make F the subject of the formula t = √v1f+1g

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

Question 1 Report

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

\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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