Finding x-intercepts of 8x³ - 6x - 1 = 0

[mathdad]

Find the x- and y-intercepts.

y = 8x^3 - 6x - 1

Let x = 0

y = 8(0)^3 - 6(0) - 1

y = -1

The y-intercept is y = -1 and it takes place at the point
(0, -1).

To find the x-intercept, let y = 0.

0 = 8x^3 - 6x - 1

I am stuck here.

 

[Greg]

I don't think this one has "nice" roots. :(

 

[mathdad]

What do "nice" roots look like?