Solve y^2=-1x

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

Solve for x

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

Steps for Solving Linear Equation

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

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

Divide both sides by -1.

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

Dividing by -1 undoes the multiplication by -1.

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

Divide y^{2} by -1.

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

Solve for y (complex solution)

$$y=-i\sqrt{x}$$

$$y=i\sqrt{x}$$

Solve for y

$$y=\sqrt{-x}$$

$$y=-\sqrt{-x}\text{, }x\leq 0$$