Question 470209
Solving for the x-coordinates of the three points of intersection:

{{{x^3 = 5x - 2}}} <==> {{{x^3 - 5x + 2 = 0}}}

<==> {{{(x - 2)(x^2 + 2x - 1) = 0}}}
Have to solve x - 2 = 0, and {{{x^2 + 2x - 1 = 0}}}

The first equation has root x = 2.
The second equation has roots x = {{{-1 +- sqrt(2)}}}, by direct use of the quadratic formula.