Question

Якщо
$\frac{1}{a} = \frac{1}{b} - \frac{1}{c}$
то с=​

Answer 1

$\dfrac{1}{a} =\dfrac{1}{b} -\dfrac{1}{c}$

$\dfrac{1}{c} =\dfrac{1}{b} -\dfrac{1}{a}$

$\dfrac{1}{c} =\dfrac{a}{ab} -\dfrac{b}{ab}$

$\dfrac{1}{c} =\dfrac{a-b}{ab}$

$\boxed{c =\dfrac{ab}{a-b} }$