If the equation \( 5 \arctan \left(\mathrm{x}^{2}+\mathrm{x}+\mathr...

Описание

If the equation \( 5 \arctan \left(\mathrm{x}^{2}+\mathrm{x}+\mathrm{k}\right)+3 \operatorname{arccot}\left(\mathrm{x}^{2}+\mathrm{x}+\mathrm{k}\right)=2 \pi \), has two distinct solutions, then the range of \( \mathrm{k} \), is
\( P \)
(A) \( \left(0, \frac{5}{4}\right] \)
(B) \( \left(-\infty, \frac{5}{4}\right) \)
(C) \( \left(\frac{5}{4}, \infty\right) \)
(D) \( \left(-\infty, \frac{5}{4}\right] \)
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