AlgebraLAB
 
 
Site Navigation
Site Directions
Search AlgebraLAB
Activities
Career Profiles
Glossary
Lessons
Reading Comprehension Passages
Practice Exercises
StudyAids: Recipes
Word Problems
Project History
Developers
Project Team






Using Complex Numbers in Solving Quadratics
There are two particular types of quadratic equations where the use of complex numbers becomes necessary. The first type includes quadratic equations in which there is no linear term and the squared term is set equal to a negative number. The second type occurs when the discriminant in the quadratic equation is negative.

Type 1: Solve .
  • Take the square root of both sides of the equation.
  • Simplify.


When dealing with a negative number under the square root, we have to make use of imaginary numbers. To learn more about imaginary numbers click here.

Type 2: Solve
  • Use the quadratic formula: where a = 1, b = -3, and c = 10






  • and

Examples
Example
#1.
What is your answer?
 
Example
#2.
What is your answer?
 
Example
#3.

What is your answer?
 
Example
#4.

What is your answer?
 
Example #5.
What is your answer?
 



S Taylor

Show Related AlgebraLab Documents


  Return to STEM Sites AlgebraLAB
Project Manager
   Catharine H. Colwell
Application Programmers
   Jeremy R. Blawn
   Mark Acton
Copyright © 2003-2017
All rights reserved.