Equation in which one of the variables appears at least once in the denominator of a fraction and that can be converted to an algebraic equation.

### Example

Consider : \(\dfrac{4}{x\space– 2}\) + \(\dfrac{8}{x + 2}\) = \(\dfrac{12}{x}\), with *x* ∉ {−2, 0, 2}.

Then :

⇔ 4*x*(*x* + 2) + 8*x*(*x* – 2) = 12(*x* – 2)(*x* + 2)

⇔ 4\({x^2}\) + 8x + 8\({x^2}\) – 16x = 12\({x^2}\) – 48

⇔ –8*x* = –48

⇔ *x* = 6