If $x+\frac{1}{x}= 2$, then the value of $x^{57}+\frac{1}{x^{57}}$

1 -2 0 2

2

If $x+\frac{1}{x}= 2$ Then put x = 1 $x^{57}+\frac{1}{x^{57}}$ = $1^{57}+\frac{1}{1^{57}}$ = 2