Answer:
The solutions of given equation are -3, -1 and 3.
Explanation:
The given equation is
![x^3+x^2-9x-9=0](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7wmhi996rts4egh411avur7ahb5w98sp06.png)
The solution of above equation are the x-intercept of the polynomial
![P(x)=x^3+x^2-9x-9](https://img.qammunity.org/2019/formulas/mathematics/middle-school/kkc8rrfs73c1twcp5apbqhpp4iyvldem5a.png)
The graph of the polynomial P(x) is shown below.
From the graph it is clear that the graph intersect the x-axis at (-3,0), (-1,0) and (3,0). It means the x-intercepts of the polynomial P(x) are -3,-1 and 3.
Therefore the solutions of given equation are -3, -1 and 3.