What is the nature of the roots of the equation 4x² + x + 1 = 0?

What is the nature of the roots of the equation 4x² + x + 1 = 0?

Explanation

The discriminant D = b^2 - 4ac = 1^2 - 4(4)(1) = 1 - 16 = -15.

Since D = -15 < 0, the roots are Imaginary and unequal.