Find the all possible values of \( \alpha \) such that point \( P(\alpha, \alpha) \) is outside ...

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Find the all possible values of \( \alpha \) such that point \( P(\alpha, \alpha) \) is outside the parabola \( y=x^{2}+x+1 \) and inside the circle \( x^{2}+y^{2}=50 \).
(A) \( (-5, \infty) \)
(B) \( (-\infty, \infty) \)
(C) \( (-1,5) \)
(D) \( (-5,5) \)
\( \mathrm{W} \)
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