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Study Guides > Intermediate Algebra

Introduction: Quadratic Equations with Complex Solutions

In this lesson we will bring the concepts of solving quadratic equations and complex numbers together to find solutions to quadratic equations that are imaginary.  You will also learn about a really useful quality of the quadratic formula that can help you know whether a quadratic equation has real or complex solutions.

The learning objectives for this lesson include:

  • Use the quadratic formula to solve quadratic equations with complex solutions
  • Connect complex solutions with the graph of a quadratic function that does not cross the x-axis.
  • Define the discriminant and use it to classify solutions to quadratic equations

The learning activities for this lesson include:

  • Read: Quadratic Equations With Complex Solutions
  • Self-Check: Quadratic Equations With Complex Solutions
  • Read: The Discriminant
  • Self-Check: The Discriminant