Solve x^5-4y=2

$$x ^ { 5 } - 4 y = 2$$

Solve for y

$$y=\frac{x^{5}-2}{4}$$

Steps for Solving Linear Equation

Subtract x^{5} from both sides.

$$-4y=2-x^{5}$$

Divide both sides by -4.

$$\frac{-4y}{-4}=\frac{2-x^{5}}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$y=\frac{2-x^{5}}{-4}$$

Divide 2-x^{5} by -4.

$$y=\frac{x^{5}}{4}-\frac{1}{2}$$

Solve for x (complex solution)

$$x=e^{\frac{2\pi i}{5}}\sqrt[5]{4y+2}$$

$$x=\sqrt[5]{4y+2}$$

$$x=e^{\frac{4\pi i}{5}}\sqrt[5]{4y+2}$$

$$x=e^{\frac{6\pi i}{5}}\sqrt[5]{4y+2}$$

$$x=e^{\frac{8\pi i}{5}}\sqrt[5]{4y+2}$$

Solve for x

$$x=\sqrt[5]{4y+2}$$