Question

if x= root 2 - 1, then find the value of x²+1/x²​

Answer 1

Answer:

6 is the answer

Step-by-step explanation:

x = root 2 -1

x^2 = (root 2 - 1)^2= 2+1-2root2 = 3 -2 root 2

and 1/ x^2 = 1/ 3 -2 root2 = 3+ 2 root2

the value of the x^2 +1/x^2

= 3 -2 root2 +3+ 2root2

= 6