If x=1/(1+1/(1+x)) and y=2/(2+1/(1+y)) t...

If `x=1/(1+1/(1+x))` and `y=2/(2+1/(1+y))` then which of the following can be the value of `X+Y`?

A

`((-5-sqrt17+3))/4`

B

`((2 sqrt5+sqrt 17-3))/4`

C

`((-sqrt5+sqrt17+1)) /4`

D

`((sqrt5+sqrt17-1))/4`

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