The equation x^3-3x+[a]=0, where [*] den...

The equation `x^3-3x+[a]=0,` where [*] denotes the greatest integer function, will have three real and distinct roots if

A

`a in (-oo,2)`

B

`a in (0,2)`

C

`a in (-oo, 2) cup (0,oo)`

D

`a in [-1,2)`

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The correct Answer is:

D

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