Question

if x+1/x=3 find the value of x²+1/x² and x⁴+1/x⁴​

Answer 1

Answer:

x^2+1/x^2= 17/4

x^4+1/x^4=257/16

Step-by-step explanation:

(x+1)/x=3

x-3x+1=0

x=1/2

x^2+1/x^2. .....(1)

substituting value of x=1/2 in equation(1),

x^2+1/x^2=17/4

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

substituting value of x=1/2 in equation(2),

x^4+1/x^4=257/16