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

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 lt x_2 lt x_3 lt x_4` and product of two roots is unity , then :
`x_2^(3)+x_4^3` is equal to :

A

`(2+5sqrt(5))/(8) `

B

`-4`

C

`(27 sqrt(5) + 5)/(4) `

D

`18`

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The correct Answer is:
D
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