Solve 9x^2-4y=36

$$9 { x }^{ 2 } -4y=36$$

Solve for y

$$y=\frac{9\left(x^{2}-4\right)}{4}$$

Steps for Solving Linear Equation

Subtract 9x^{2} from both sides.

$$-4y=36-9x^{2}$$

Divide both sides by -4.

$$\frac{-4y}{-4}=\frac{36-9x^{2}}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$y=\frac{36-9x^{2}}{-4}$$

Divide 36-9x^{2} by -4.

$$y=\frac{9x^{2}}{4}-9$$

Solve for x (complex solution)

$$x=-\frac{2\sqrt{y+9}}{3}$$

$$x=\frac{2\sqrt{y+9}}{3}$$

Solve for x

$$x=\frac{2\sqrt{y+9}}{3}$$

$$x=-\frac{2\sqrt{y+9}}{3}\text{, }y\geq -9$$