Question

Q) if x+1/x= 3+2✓2, then find the value of x^3-1/x^3 is?​

Answer 1

Step-by-step explanation:

hope this helps you out....

Answer 2

Answer:

Step-by-step explanation:

Given that,

x-1/x = 3+2√2

We know the identity,

(a-b )^3 = a ^3-b^3-3ab (a -b )

(x -1/x)^3=x ^3 - 1/x ^3 - 3 × x × 1/x (x - 1/x )

= x ^3 - 1/x ^3 - 3 (3+2√2) (∵x and 1/x are cancelled. x - 1/x = 3 + 2√2 )

= x ^3 - 1/x ^3 - 9 - 6√2

x^3 - 1/x ^3 = 9 + 6√2 is the answer