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The equation x^(4)-2x^(3)-3x^(2)+4x-1=0 ...

The equation `x^(4)-2x^(3)-3x^(2)+4x-1=0` has four distinct real roots `x_(1),x_(2),x_(3),x_(4)` such that `x_(1)ltx_(2)ltx_(3)ltx_(4)` and product of two roots is unity then which of the following is/are true

A

`x_(1)x_(2)+x_(1)x_(3)+x_(2)x_(4)+x_(3)x_(4)=1`

B

`x_(1)x_(2)+x_(1)x_(3)+x_(2)x_(4)+x_(3)x_(4)=0`

C

`x_(2)^(3)+x_(4)^(3)=18`

D

`x_(2)^(3)+x_(4)^(3)=27`

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