Solve f:y=-x^2/2

$$f : y = - \frac { x ^ { 2 } } { 2 }$$

Solve for f

$$f=-\frac{yx^{2}}{2}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2y, the least common multiple of y,2.

$$2f=-yx^{2}$$

Divide both sides by 2.

$$\frac{2f}{2}=-\frac{yx^{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$f=-\frac{yx^{2}}{2}$$

Solve for x (complex solution)

$$x=-iy^{-\frac{1}{2}}\sqrt{2f}$$

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

Solve for x

$$x=\sqrt{-\frac{2f}{y}}$$

$$x=-\sqrt{-\frac{2f}{y}}\text{, }\left(y>0\text{ and }f\leq 0\right)\text{ or }\left(f\geq 0\text{ and }y<0\right)$$