Question

If x2 =1/x2 +1 then what is the value of x2 +1/x2

Answer 1

Answer:  = 4√12

Step-by-step explanation:

We know, a²+b² = (a+b)² - 2 ab

So, (x+1/x) ² - 2 = 14

=> (x+1/x) = √16 = 4

As, a²+b² = (a-b)² + 2 ab

So, (x-1/x)² + 2 = 14

=> (x - 1/x) = √12

So, x² - 1/x²

= (x + 1/x) (x - 1/x)

= 4√12