MathNet 2003 — Part 02 Question 85

The equation $x^{13} - x^{11} + x^{9} - x^{7} + x^{5} - x^{3} + x - 2 = 0$ has a real solution $x_0$. Show that $\left[x_0^{14}\right] = 3$, where $[a]$ is the integral part of the real number $a$.