### Example 1

Solve for the roots of the following equation.

### Example 2

Solve for the roots of the following equation.

*x*^{6} – 2*x*^{3} – 8 = 0

### Example 3

Solve for the roots of the following equation.

### Example 4

Solve for the roots of the following equation.

-2*x*^{3} + 6*x*^{3/2} – 4 = 0

### Example 5

Solve for the roots of the following equation.

*x*^{5} + 3*x*^{3} – 4*x* = 0