Solve xy=x^2*sqrt{1+x/1-x}

$$x y = x ^ { 2 } \cdot \sqrt { \frac { 1 + x } { 1 - x } }$$

Solve for y

$$\left\{\begin{matrix}y=\sqrt{\frac{x+1}{1-x}}x\text{, }&x\geq -1\text{ and }x<1\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xy=\sqrt{\frac{x+1}{1-x}}x^{2}$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{\sqrt{x+1}x^{2}}{\sqrt{1-x}x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{\sqrt{x+1}x^{2}}{\sqrt{1-x}x}$$

Divide \frac{x^{2}\sqrt{1+x}}{\sqrt{1-x}} by x.

$$y=\frac{\sqrt{x+1}x}{\sqrt{1-x}}$$