Question

If x+1/x=4 then find the value of x^6 - 1/x^6

Answer 1

Answer:

+1/x=4

( x+1/x)^2=16

x^2+1/x ^2+2=16

x^2+1/x ^2=14

(x^2+1/x^2)^3=14^3)

x^6+1/x^6+3(x^2+1/x^2)=2744

x^6+1/x^6×3(14)=2744

x^6 +1/x^6=2744–42=2702