Centre for Distance Learning and Innovation

Outcomes

In this lesson you will

complete the square to derive the quadratic formula for finding the roots of a quadratic equation
use complex or imaginary numbers as roots of quadratic equations

By the end of this section students will be able to:

derive and apply the quadratic formula
analyze the quadratic formula to connect its components to the graphs of quadratic functions
solve quadratic equations
relate the nature of the roots of quadratic equations and the x- intercepts of the graphs of 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

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