Solve x^2/x-1=y

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

Solve for y

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

$$x\neq 1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x-1.

$$x^{2}=y\left(x-1\right)$$

Use the distributive property to multiply y by x-1.

$$x^{2}=yx-y$$

Swap sides so that all variable terms are on the left hand side.

$$yx-y=x^{2}$$

Combine all terms containing y.

$$\left(x-1\right)y=x^{2}$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)y}{x-1}=\frac{x^{2}}{x-1}$$

Dividing by x-1 undoes the multiplication by x-1.

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

Solve for x (complex solution)

$$x=\frac{\sqrt{y\left(y-4\right)}+y}{2}$$

$$x=\frac{-\sqrt{y\left(y-4\right)}+y}{2}$$

Solve for x

$$x=\frac{\sqrt{y\left(y-4\right)}+y}{2}$$

$$x=\frac{-\sqrt{y\left(y-4\right)}+y}{2}\text{, }y\geq 4\text{ or }y\leq 0$$