If $$x + \frac{1}{x} = 1$$ Then find the value of $p$, where $$p = x^{4000} + \frac{1}{x^{4000}}.$$
I tried to solve it by squaring the equation. But by this method , i can get the value of $$x^{4096} + \frac{1}{x^{4096}}$$ But not the value of $p$.
How I can solve this? Thanks in advance.