Answer:
a. [tex]x=-1,3,\:or\:6[/tex]
Step-by-step explanation:
The given equation is;
[tex]x^3-8x^2+9x+18=0[/tex]
To solve by the x-intercept method we need to graph the corresponding function using a graphing calculator or software.
The corresponding function is
[tex]f(x)=x^3-8x^2+9x+18[/tex]
The solution to [tex]x^3-8x^2+9x+18=0[/tex] is where the graph touches the x-axis.
We can see from the graph that; the x-intercepts are;
(-1,0),(3,0) and (6,0).
Therefore the real solutions are:
[tex]x=-1,3,\:or\:6[/tex]
