Question

1/a+1/b=1/x solve for x

Answer 1

Answer:

x = $\frac{ab}{b+a}$

Step-by-step explanation:

Given

$\frac{1}{a}$ + $\frac{1}{b}$ = $\frac{1}{x}$ ( express the sum on the left as a single fraction )

$\frac{b+a}{ab}$ = $\frac{1}{x}$ ( cross- multiply )

x(b + a) = ab ← divide both sides by (b + a)

x = $\frac{ab}{b+a}$