Mark the Correct alternative in the following:

The set of all vales of m for which both the roots of the equation are real and negative, is


For roots to be real its D ≥ 0


(m + 1)2 – 4(m + 4) ≥ 0


m2 – 2m – 15 ≥ 0


(m – 1)2 – 16 ≥ 0


(m – 1)2 ≥ 16


m – 1 ≤ -4 or m – 1 ≥ 4


m ≤ -3 or m ≥ 5


For both roots to be negative product of roots should be


positive and sum of roots should be negative.


Product of roots = m + 4 > 0 m > -4


Sum of roots = m + 1 < 0 m < -1


After taking intersection of D ≥ 0, Product of roots > 0 and


sum of roots < 0. We can say that the final answer is


m (-4, -3]

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