Use the x-intercept method to find all real solutions of the equation.x^3-8x^2+9x+18=0
Accepted Solution
A:
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]