3/4x^ 1/3 power=-2 using intersect feature

Question

Has to be answere using Intersect Feature

Answer 1

The red curve is y=¾x^⅓ which could also be written y³=27x/64 or x=64y³/27.

The blue line is y=-2. They intersect when ¾x^⅓=-2.

The intersection point is shown, but the graph can only approximate to this at the scale shown.

Nevertheless it can be seen that the solution for this two-equation system is about x=-19 and, of course, y=-2. x is the solution of the equation ¾x^⅓=-2. (x=-512/27=-18²⁶/₂₇.)