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If exactly one root is negative, then the range of a^2 + 2a + 5 is

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Consider the quadratic equation ax2 + (2 - a)x - 2 = 0 where a ∈ R.

If exactly one root is negative, then the range of a2 + 2a + 5 is

(A)  [4, ∞)

(B)  [-2, ∞)

(C)  (-∞, 4]

(D)  (5, ∞)

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Correct option  (D) (5, ∞)

Explanation:

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