Solve x^5-6y=2

$$x ^ { 5 } - 6 y = 2$$

Solve for y

$$y=\frac{x^{5}-2}{6}$$

Steps for Solving Linear Equation

Subtract x^{5} from both sides.

$$-6y=2-x^{5}$$

Divide both sides by -6.

$$\frac{-6y}{-6}=\frac{2-x^{5}}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$y=\frac{2-x^{5}}{-6}$$

Divide 2-x^{5} by -6.

$$y=\frac{x^{5}}{6}-\frac{1}{3}$$

Solve for x (complex solution)

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

$$x=\sqrt[5]{6y+2}$$

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

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

$$x=e^{\frac{8\pi i}{5}}\sqrt[5]{6y+2}$$

Solve for x

$$x=\sqrt[5]{6y+2}$$