Question

Solve for $x$: $\frac{x}{a}-\frac{a+b}{x}=\frac{b\left(a+b\right)}{ax}$

Answer 1

$\frac{x}{a}-\frac{a+b}{x}=\frac{b(a+b)}{ax}$

$\Rightarrow \frac{x}{a}=\frac{b(a+b)}{ax}+\frac{a+b}{x}$

$\Rightarrow \frac{x}{a}=\frac{b(a+b)+a(a+b)}{ax}$

$\Rightarrow x=\frac{(a+b)(a+b)}{x}$

$\Rightarrow x^2=(a+b{)}^2$

$\therefore x=a+b$