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If the equation 5arctan(x^(2)+x+k)+3arc ...

If the equation `5arctan(x^(2)+x+k)+3arc cot(x^(2)+x+k)=2 pi,` has two distinct solutions,then the range of `k,` is

A

`(0 , 5/4]`

B

` ( - infty, 5/4)`

C

`(5/4 , infty)`

D

`( - infty, 5/4]`

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The correct Answer is:
B
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