Question

If x+1/x= root 3,find x^4+1/x^4

Answer 1

Answer: 3

Step-by-step explanation:

(x + 1/x)^2 = 3

x^2 + 1/x^2 + 1 = 3

x^2 + 1/x^2 = 2

Squaring both sides again,

(x^2 + 1/x^2) ^2 = 4

x^4 + 1/x^4 + 1 = 4

x^4 + 1/x^4 = 3