Known x2-3x-1 = find the value of X4 + 1 / x4, x + 1 / X (correct title)

Known x2-3x-1 = find the value of X4 + 1 / x4, x + 1 / X (correct title)

In this paper, we are going to find out that it is clear that we are not going to be 0 \\178;; - 3-3-1 / x = 0, that is, X-1-1 / X-1 / x = 0, that is, X-1 / X-1 / x-3-1 / X-1 / x-3-3-1 / x = 0, as x-3-3-1 / x = 0, that is, X-1-1 / X-1 / X-1 / x = 0, X-1 / X-1 / x = 3 (x-1 / X-1 / x = 3-1 / X-1 / X-1 / X (x-1 / X-1 / X-1 / X-1 / X-1 / x-as (x-1 / X-1 / X-1 / X-1 / x) as as as (x-3 (x-3 / X-1 / x) as (x-3 (x) as (x-3 (x-^ 4 + 2  x ^ 4 + 1 / x ^ 4 =

Given that x x 2 + X + 1 = a (a ≠ 0 and a ≠ 12), try to find the value of fraction x 2x 4 + x 2 + 1

Then the original formula = 1x2 + 1x2 + 1 = 1 (x + 1x) 2 − 1 = 1 (1a − 1) 2 − 1 = 11A2 − 2A = A21 − 2A

(3) It is known that X / x 2 + X + 1 = 14, x 2 / x 4 + x 2 + 1

x/(x²+x+1)=1/(x+1+1/x)=14
x+1+1/x=1/14
x+1/x=1/14-1=-13/14
x²/(x^4+x²+1)
=1/(x²+1/x²+1)
=1/[(x+1/x)²-1]
=1/[(-13/14）²-1]
=1/（169/196-1）
=1/（-27/196）
=-196/27