Question Detail
Question
The roots of the quadratic equation \(2x^2 + x + 4 = 0\) are
Correct Answer
Option D is the correct answer.
Detailed Explanation
Discriminant (\Delta = 1^2 - 4(2)(4) = 1 - 32 = -31 < 0). So the roots are complex conjugates, hence no real roots.
Hint
Compute the discriminant: \(\Delta = b^2 - 4ac\). If \(\Delta < 0\), no real roots.