Question

If x = (4 - √15), then find the value of x + 1/x

Answer 1

Answer:

Step-by-step explanation:

x = 4+√15  (Given)

To find = x + 1/x

Thus,

1/x= 1/(4+√15) = 4 -√15

Solving the equation on both the sides -

1/x= 1/(4+√15) ×( 4 -√15)/ 4 -√15

1/x = 4 -√15/ 16-15

1/x = 4 -√15

x+1/x = (4+√15 + 4 - √15 )

x+1/x = 8

Therefore, the value of x+1/x will be 8