Solve 4x^3-13y=0

$$4 x ^ { 3 } - 13 y = 0$$

Solve for y

$$y=\frac{4x^{3}}{13}$$

Steps for Solving Linear Equation

Subtract 4x^{3} from both sides. Anything subtracted from zero gives its negation.

$$-13y=-4x^{3}$$

Divide both sides by -13.

$$\frac{-13y}{-13}=-\frac{4x^{3}}{-13}$$

Dividing by -13 undoes the multiplication by -13.

$$y=-\frac{4x^{3}}{-13}$$

Divide -4x^{3} by -13.

$$y=\frac{4x^{3}}{13}$$

Solve for x (complex solution)

$$x=\frac{e^{\frac{2\pi i}{3}}\sqrt[3]{26y}}{2}$$

$$x=\frac{\sqrt[3]{26y}}{2}$$

$$x=\frac{e^{\frac{4\pi i}{3}}\sqrt[3]{26y}}{2}$$

Solve for x

$$x=\frac{\sqrt[3]{26y}}{2}$$