Solve y^2=4-x

$$y ^ { 2 } = 4 - x$$

Solve for x

$$x=4-y^{2}$$

Steps for Solving Linear Equation

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

$$4-x=y^{2}$$

Subtract 4 from both sides.

$$-x=y^{2}-4$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{y^{2}-4}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{y^{2}-4}{-1}$$

Divide y^{2}-4 by -1.

$$x=4-y^{2}$$

Solve for y (complex solution)

$$y=-\sqrt{4-x}$$

$$y=\sqrt{4-x}$$

Solve for y

$$y=\sqrt{4-x}$$

$$y=-\sqrt{4-x}\text{, }x\leq 4$$