Question 1104919
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The equation has conjugate complex (not pure imaginary) roots whenever the discriminant is negative.<br>
{{{b^2-4ac = 6^2-4(k)(k) = 36-4k^2}}}<br>
The discriminant is negative whenever |k|>3.<br>
The given equation has conjugate complex roots when x is less than -3 or greater than 3.