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If m is a real number and 2x^2 + mx + 18 has two distinct real roots, then what are the possible values of m? Express your answer in interval notation.

May 16, 2022

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There will be 2 distinct roots if and only if the discriminant ($$b^2 - 4ac$$) is positive.

Substituting what we know, we have: $$m^2 - 4 \times 2 \times 18 > 0$$

Now, we have a simple inequality and have to solve for m.

Can you take it from here?

May 16, 2022