Answer:Step-by-step explanation:The nature of the roots of a quadratic equation (real, imaginary, equal, or unequal) is determined by the discriminant, which is calculated as b² - 4ac for the quadratic equation ax² + bx + c = 0. Here's how the discriminant reveals the nature of the roots: Discriminant > 0: The equation has two distinct real roots.Discriminant = 0: The equation has two equal real roots.Discriminant < 0: The equation has two complex (imaginary) roots.