Solve for X, Pre calculus

Question

X^3-8x^2+5x-14=0 

Answer 1

There is no rational solution. To verify this. As signs alternate, all solutions must be positive. From the rational roots theorem, we know that the possible rational roots are 1, 2, 7, and 14. None of these is a root.

The real solution is approximately 7.5841. There are two complex solution.