Question 14
In this paper, let $\lfloor x\rfloor$ denote the greatest integer not exceeding $x$. For examples, $\lfloor5\rfloor=5$, $\lfloor2.8\rfloor=2$, and $\lfloor-2.3\rfloor=-3$.
Let $H=(x^3-x^2+x)^9$, where $x=\dfrac2{\sqrt5-1}$. Determine $\lfloor H\rfloor$.
Let $H=(x^3-x^2+x)^9$, where $x=\dfrac2{\sqrt5-1}$. Determine $\lfloor H\rfloor$.