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

The equation `x ^(4) -2x ^(3) + 4x -1=0` has four distinct real roots `x _(1), x _(2), x _(3), x_(4)` such that `x _(1) lt x _(2) lt x _(3)lt x _(4)` and product of two roots is unity, then :
`x _(2)^(3) + x _(4)^(3)=`

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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