Question

if x+1/x=3 then x power 6 + 1/x power 6=

Answer 1

(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