Question

Solve `x/a - (a + b)/x = (b(a +b))/(ax)`

Answer 1

`x/a - (a + b)/x = (b(a +b))/(ax)`

`=> (x^2 - a^2 - ab)/(ax) = (ab + b^2)/(ax)`

`=> x^2 - a^2 - ab = ab + b^2`

`=> x^2 = a^2 + b^2 + 2ab`

`=> x^2 = (a + b)^2`

`=> x = a + b`

or `x = -(a + b)^2`

`=> x = a + b`

or x  -(a + b)