Question

If x + 1 / x = 2 then what is the value of x2-1 / x2​

Answer 1

Step-by-step explanation:

Given:-

x+1/x=2

Find:-

x²-1/x²=?

solution:-

x+1/x=2

x²+1=2x

x²-2x+1=0

x²-x-x+1=0

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

(x-1)²=0

x-1=0

x=1

Now,

x²-1/x²=(1)²-1/(1)²=0