Solve 3x^2-y=4

$$3 x ^ { 2 } - y = 4$$

Solve for y

$$y=3x^{2}-4$$

Steps for Solving Linear Equation

Subtract 3x^{2} from both sides.

$$-y=4-3x^{2}$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{4-3x^{2}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{4-3x^{2}}{-1}$$

Divide 4-3x^{2} by -1.

$$y=3x^{2}-4$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{3\left(y+4\right)}}{3}$$

$$x=\frac{\sqrt{3\left(y+4\right)}}{3}$$

Solve for x

$$x=\frac{\sqrt{3\left(y+4\right)}}{3}$$

$$x=-\frac{\sqrt{3\left(y+4\right)}}{3}\text{, }y\geq -4$$