Question

If x+1/x = 2. Find the value of (x-1/x)^14​

Answer 1

Step-by-step explanation:

x+ 1/x= 2

=> x²-2x+1=0

=> x²-x-x+1= 0

=> x( x-1) - 1 ( x-1)= 0

=> => x = 1

therefore

(x-1/x)^14 =( 1-1/1)^14= 0^14= 0

Answer= 0