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Monica [59]
3 years ago
8

Solve for p: (1/p)+(1/q)=(1/f)

Mathematics
1 answer:
Brut [27]3 years ago
3 0

\dfrac{1}{p}+\dfrac{1}{q}=\dfrac{1}{f}\qquad|\text{subtract}\ \dfrac{1}{q}\ \text{from both sides}\\\\\dfrac{1}{p}=\dfrac{1}{f}-\dfrac{1}{q}\\\\\dfrac{1}{p}=\dfrac{(1)(q)}{(f)(q)}-\dfrac{(1)(f)}{(f)(q)}\\\\\dfrac{1}{p}=\dfrac{q-f}{fq}\Rightarrow\dfrac{p}{1}=\dfrac{fq}{q-f}\\\\\boxed{p=\dfrac{fq}{q-f}}

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