Solving a quadratic by applying the quadratic formula

The video tutorial explains how to solve quadratic equations using the quadratic formula. It begins by ensuring the equation is in the standard form AX squared plus BX plus C. The tutorial then calculates the discriminant to determine the nature of the roots, which in this case are complex due to a negative discriminant. The instructor demonstrates how to use the quadratic formula to find the solutions and simplifies the complex solutions into a plus bi form.

Explain the significance of imaginary numbers in the context of quadratic equations.

How do you express a complex solution in the form a + bi?