Learning Resources

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Outcomes

In this lesson you will

  • Solve problems that give rise to quadratic equations, some of which require the quadratic formula to solve.
  • Learn that there are solutions to the quadratic equation that may not have meaning in the real-world problem from which they were derived.
  • See the importance of the context of the problem in deciding which roots are inadmissible.

By the end of this section you should be able to:

  • Derive and apply the quadratic formula.
  • Solve quadratic equations.
  • Relate the nature of the roots of quadratic equations and the x-intercepts of the graphs of the corresponding functions.
  • Represent non-real roots of quadratic equations as complex numbers.
  • Demonstrate an understanding of the role of irrational numbers in applications.
  • Demonstrate an understanding of the nature of the roots of quadratic equations.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • How to use solve equations using various methods (graphing, factoring, completing the square, and the quadratic formula).
  • How to translate between words and mathematical expressions.