### plotted real intersection but solve only shows imaginary

I plotted ~~x^3-x ~~`x^3 - x`

and its derivative ~~3~~*x^2 *`3*x^2 `

`- `~~1 ~~1

to get two intersections in the real ~~plane. ~~plane.

* *```
plot([x^3-x,3*x^2 - 1],-3,3,color=['blue','green'],legend_label=["f","derivative"])
```

*However, when I solved the two with *

`solve(x^3-x == `~~3~~

`x^2 3*x^2 - `~~1,x), ~~1, x)

, all I get are imaginary ~~values. Shouldn't Solve show me the two intersections or am I disastrously confused?~~

plot([x^3-x,3*x^2 - 1],-3,3,color=['blue','green'],legend_label=["f","derivative"])

solve(x^3-x == 3x^2 - 1,x)values.

```
solve(x^3-x == 3x^2 - 1,x)
[x == -1/2*(1/9*I*sqrt(37)*sqrt(3) + 1)^(1/3)*(I*sqrt(3) + 1) - 2/3*(-I*sqrt(3) + 1)/(1/9*I*sqrt(37)*sqrt(3) + 1)^(1/3) + 1, x == -1/2*(1/9*I*sqrt(37)*sqrt(3) + 1)^(1/3)*(-I*sqrt(3) + 1) - 2/3*(I*sqrt(3) + 1)/(1/9*I*sqrt(37)*sqrt(3) + 1)^(1/3) + 1, x == (1/9*I*sqrt(37)*sqrt(3) + 1)^(1/3) + 4/3/(1/9*I*sqrt(37)*sqrt(3) + 1)^(1/3) +
```~~1][C:\fakepath\intersection.PNG](/upfiles/16024461625093012.png)
~~1]

Shouldn't `solve`

show me the two intersections or am I disastrously confused?