Solve quadratic equations with complex solutions

What you'll learn

1. Identify when a quadratic equation with real coefficients has complex (non-real) solutions using the discriminant.
2. Apply the quadratic formula to obtain complex solutions in a + bi form.
3. Recognize that complex solutions to real-coefficient quadratics always appear as conjugate pairs.
4. Verify complex solutions by substitution.

Prerequisites

• Add, subtract, and multiply complex numbers