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If \(m\) is a real number and \(x^2+mx+4\) has two distinct real roots, then what are the possible values of \(m\)? Express your answer in interval notation.

 Jun 26, 2021
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We want the discriminant to be positive:

m^2 - 4 > 0

m^2 > 4

 

The solution is (-inf,-2) U (2,inf).

 Jun 26, 2021

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