Solve x^2+y/4=66

$$x ^ { 2 } + \frac { y } { 4 } = 66$$

Solve for y

$$y=264-4x^{2}$$

Solution Steps

Multiply both sides of the equation by 4.

$$4x^{2}+y=264$$

Subtract 4x^{2} from both sides.

$$y=264-4x^{2}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{264-y}}{2}$$

$$x=\frac{\sqrt{264-y}}{2}$$

Solve for x

$$x=\frac{\sqrt{264-y}}{2}$$

$$x=-\frac{\sqrt{264-y}}{2}\text{, }y\leq 264$$