Question

if x+1/x = 6, find x Power of 4 + 1/x Power 4
(Question is there in image also) ​

Answer 1

Answer:

x+1/x=6

then squaring on both sides and using the identity (a+b)^2=a^2+b^2+2ab

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

x^2+1/x^2+2=36

x^2+1/x^2=34

again squaring on both sides,we get

(x^2+1/x^2)^2=34^2

x^4+1/x^4+2=1156

x^4+1/x^4=1154

hope it helps you friend