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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

`(2+5 sqrt5)/(8)`

B

`-4`

C

`(27 sqrt5 + 5)/(4)`

D

18

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The correct Answer is:
D
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VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (COMPREHENSION TYPE PROBLEMS)
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  13. Consider the cubic equation in x , x ^(3) - x^(2) + (x- x ^(2)) sin th...

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  18. Let t be a ral number satifying 2t ^(2) -9t ^(2) + 30 -lamda =0 where ...

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