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For which of the sets of a, is the statement, “The difference between the roots of the equation $x^2+ax+1 = $ is less than $ \sqrt 5”$ true?

$\begin {array} {1 1} (A)\;(-3,\infty) & \quad (B)\;(3,\infty) \\ (C)\;(-\infty, -3) & \quad (D)\;(-3, 3) \end {array}$

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