This math topic focuses on using the quadratic formula to find the complex roots of quadratic equations. It explores how to determine the solutions of various quadratic equations when the discriminant results in negative values, leading to complex numbers as roots. Learners are tasked with analyzing each equation, using the quadratic formula appropriately, and understanding the representation of complex solutions in the form of \(x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\), identifying both the real and imaginary parts of the solutions. This helps in deepening the understanding of discriminants and their implications on the nature of roots in quadratic equations.