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.