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.