Question

if x+1/x= 5 then x⁴+1/x²/x²-3x+1​

Answer 1

Answer:

x+1/x=17………………..(1) given

(x^4+1/x^2)/(x^2-3x+1). =?

=(x^6+1)/x^2.x.(x-3+1/x).

=(x6+1)/x^3.(x+1/x-3).

=(x^3+1/x^3)/(x+1/x-3)

=[(x+1/x)^3–3(x+1/x)]/(x+1/x-3)

=[17^3–3.17]/(17–3)

=17(289–3)/14

=17×286/14. =17×143/7. =2431/7.