Answer:
[tex]x=-0.6,x=1.52,x=2.08[/tex]
Step-by-step explanation:
Let [tex]f(x)=x^3-3x^2+2[/tex].
and
[tex]g(x)=0.1-x[/tex]
The graph of the two equations are shown in the attachment.
The points where the two graphs intersected are: [tex](-0.6,0.7),(1.52,-1.42),(2.08,-1.98)[/tex]
The x-coordinates of the intersection points are the solutions to [tex]x^3-3x^2+2=0.1-x[/tex].
Therefore the solutions are: [tex]x=-0.6,x=1.52,x=2.08[/tex]
