Question

If a ≠ b and 1/x + 1/a = 1/b , then x =
do any one know how to solve this it would be great

Answer 1

\[\begin{align*}
\frac{1}{x}+\frac{1}{a}&=\frac{1}{b}\\\\
\frac{1}{x}&=\frac{1}{b}-\frac{1}{a}\\\\
\frac{1}{x}&=\frac{a}{ab}-\frac{b}{ab}\\\\
\frac{1}{x}&=\frac{a-b}{ab}\\\\
x&=\frac{ab}{a-b}
\end{align*}\]