Question

x+1/x=2 then find the value of x⁵⁷+1/x⁵⁷

Answer 1

Answer:

X+1/X=2

X^2+1=2X

X^2-2X+1=0

X^2-X-X+1=0

X(X-1)-1(X-1)=0

(X-1)(X-1)=0

(X-1)^2=0

X=1,1

X^57+1/X^57=1+1=2