Question

if 1+1/x=3 then find x^2+1/x^2​

Answer 1

Answer:

1+1/x=3

(x+1)/x=3

x+1=3x

1=2x

x=1/2

put value of x in x^2+1/x^2

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

= (1/4)+1/(1/4)

=(1/4)+(4/1) = 17/4

Answer 2

Answer:

4.25

Step-by-step explanation:

Given: 1+1/x=3

1/x= 3-1

1/x= 2

x=1/2

To find:  x^2+1/x^2​

Now put x=1/2,

x^2+1/x^2​ = (1/2)^2+1/(1/2)^2​

                = 1/4 +1/(1/4)

                =1/4 + 4

                =17/4

                =4.25