Learning Resources

Outcomes

In this lesson you will

• Apply the quadratic formula for finding the roots of a quadratic equation.

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:

• What is meant by finding the roots of a quadratic equation.
• The relation between the roots of the equation and the zeros of the corresponding function.
• How to rearrange the equation of a parabola and put it in general form.