If the roots of the equation x 2 + x + a = 0 exceed a , then

Question

If the roots of the equation x 2 + x + a = 0 exceed a , then, a > 2, a - 2, 2 a 3, - 2 a - 1

MARKS App · Accepted Answer

For the quadratic equation x 2 + x + a = 0 , if roots exceed ' a ' , then a 2 + a + a > 0 ⇒ a ∈ - ∞ , - 2 ∪ 0 , ∞ . . . i and D = 1 - 4 a ≥ 0 ⇒ a ∈ - ∞ , 1 4 . . . ii and - 1 2 > a ⇒ a - 1 2 ⇒ a ∈ - ∞ , - 1 2 From Equations. i , ii and iii . a - 2

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