Question

If x =(3+root 5)/2then findx+ 1/x

Answer 1

Step-by-step explanation:

Hope it just helps you !!

Answer 2

Step-by-step explanation:

Given that,

x=(3+root5)/2

therefore, x+1/x=(3+root 5)/2+1/((3+root 5)/2)

=(3+root5)/2+2/(3+root5)

(by taking lcm) =((3+root5)^2+2^2)/6+2root5

=(18+6root5)/(6+2root5)

Now, try to make common.

=3(6+2root5)/(6+2root5)

cancel (6+2root5), and now we get the answer. =3