Solve x^2-4y=7

$$x ^ { 2 } - 4 y = 7$$

Solve for y

$$y=\frac{x^{2}-7}{4}$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides.

$$-4y=7-x^{2}$$

Divide both sides by -4.

$$\frac{-4y}{-4}=\frac{7-x^{2}}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$y=\frac{7-x^{2}}{-4}$$

Divide 7-x^{2} by -4.

$$y=\frac{x^{2}-7}{4}$$

Solve for x (complex solution)

$$x=-\sqrt{4y+7}$$

$$x=\sqrt{4y+7}$$

Solve for x

$$x=\sqrt{4y+7}$$

$$x=-\sqrt{4y+7}\text{, }y\geq -\frac{7}{4}$$