The equation (x)^(2)=[x]^(2)+2x where [x...

The equation `(x)^(2)=[x]^(2)+2x` where `[x]` and `(x)` are the integers just less than or equal to `x` and just greater than or equal to `x` respectively, then number of values of `x` satisfying the given equation

A

`0,n+1/2`

B

`0,n-1/2`

C

`0,1//2`

D

none of these

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The correct Answer is:

D

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