Given X & # 178; - 3x + 1 = 0, find the value of 2x & # 178; / X Λ 4-3x & # 178; + 1

Given X & # 178; - 3x + 1 = 0, find the value of 2x & # 178; / X Λ 4-3x & # 178; + 1

Because x ^ 2-3x + 1 = 0
So x + 1 / x = 3
(x+1/x)^2=9
x^2+1/x^2=7
x^2+1/x^2-3=4
(x^4-3x^2+1)/x^2=4
(x^4-3x^2-1)/2x^2=2
So 2x ^ 2 / x ^ 4-3x ^ 2-1 = 2
So the value of the algebraic expression is 2