if x= 9+4√5 then find the value of (I) x+1/x (ii) x-1/x (iii) (x+2/ x)^ 3​

1 thought on “if x= 9+4√5 then find the value of (I) x+1/x (ii) x-1/x (iii) (x+2/ x)^ 3​”

1. Answer:

   Step-by-step explanation:

   We have,

   x=9−4

   5

   ​

   x

   1

   ​

   =9+4

   5

   ​

   Therefore,

   x−

   x

   1

   ​

   =−8

   5

   ​

   x+

   x

   1

   ​

   =18

   Since,

   x

   3

   −

   x

   3

   1

   ​

   =(x−

   x

   1

   ​

   )(x

   2

   +

   x

   2

   1

   ​

   +1)

   =(−8

   5

   ​

   )

   ⎣

   ⎢

   ⎡

   ​

   (x+

   x

   1

   ​

   )

   2

   −1

   ⎦

   ⎥

   ⎤

   ​

   =(−8

   5

   ​

   )[323]

   =−2584

   5

   ​

   Hence, this is the answer.

   please add me as brainliest

   Reply