If x + x/y = x x/y , where x and y are positive real numbers, then y is equal to ?

Answer: Option D

$$\begin{array}{rl}& \iff \sqrt{x+\frac{x}{y}}=x\sqrt{\frac{x}{y}}\\ & \iff x+\frac{x}{y}=x^2.\frac{x}{y}\\ & \iff \frac{xy+x}{y}=\frac{x^3}{y}\\ & \iff xy+x=x^3\\ & \iff y+1=x^2\\ & \iff y=x^2-1\end{array}$$