Answer:
-2, 1, 4.
Step-by-step explanation:
The given equation is
[tex]x^3-6x=3x^2-8[/tex]
It can be written as a system of equations.
[tex]y=x^3-6x[/tex]
[tex]y=3x^2-8[/tex]
Plot the graph of these equation on a coordinate plane as shown below.
From the graph it is clear that the graph of both curves intersect each other at (-2,4), (1,-5) and (4,40).
The x-coordinates of intersection points are -2,1 and 4. It means, the given equation is true for -2,1 and 4.
Therefore, the zeroes of given equation are -2,1 and 4.
The answer is D, or –2, 1, 4
Hope this helps!! Just got it right on edge 2020 :)
