Solve 1/x^2=y

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

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x^{2}.

$$1=yx^{2}$$

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

$$yx^{2}=1$$

The equation is in standard form.

$$x^{2}y=1$$

Divide both sides by x^{2}.

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

Dividing by x^{2} undoes the multiplication by x^{2}.

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

Solve for x (complex solution)

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

$$x=y^{-\frac{1}{2}}\text{, }y\neq 0$$

Solve for x

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

$$x=-\frac{1}{\sqrt{y}}\text{, }y>0$$