Question

If x +1/x = 3 then the value of x^6 + 1/x^6 is​

Answer 1

Step-by-step explanation:

(x+1/x)^3 = x^3 + 1/x^3+ 3 x^3 1/x^3 ( x+ 1/x)

substituting the the value 3 in the above equation we get x^3+1/x^3 = 18

now( x^3 +1/x^3)^2 = x^6 +1/x^6+ 2 x^6 1/x^6

solving this x^6 + 1/x^6 = 322

Hope it helps!!