Real-Life Applications of Complex or Imaginary Numbers

When solving a quadratic equation using the quadratic formula, it is possible for the b2 – 4ac term inside the square root (the discriminant) to be negative, thus forcing us to take the square root of a negative number. The solutions to the equation will then be complex numbers (i.e., involve the imaginary unit i).

In the real world, where might these so-called imaginary numbers be used?

Don't use plagiarized sources. Get Your Custom Essay on
Real-Life Applications of Complex or Imaginary Numbers
From $8/Page
Order Essay

When using a formula, we often know the value of one variable to a greater degree of accuracy than we know the others. I need help to understand, what affect, if any, does it make on our use of a formula if we know the value of one variable to a greater degree of accuracy than another? Please assist.

Solution Preview
Yes, it is possible to finish a quadratic with an imaginary number. If you’ve noticed, this is acceptable in higher levels of math but not in normal math or lower algebra. Where would this be used? Often, these type of problem solutions occur in engineering problems, physics problems, and most often, in space engineering and technology. Unless the student of math is on a course to take higher levels of math and work in the fields in which imaginary numbers become common, it is best to merely accept that those are ideals that seem to have worked for many years.

Without a formula, many common practices that we deal with in our every day life would not be understood. How could a carpenter build a specified item without knowing area or perimeter? How could a carpet-layer know how to cut a carpet for exact room size without a formula? How could pharmacists know how to mix medicine without formulas? Although sometimes exact numbers are not known, it is usually because of “rounding” to a certain amount of spaces. What you will find is that the more “exact” a computation has to be, the more accurate we must figure the variables.

Okay, now we’ve seen that imaginary numbers exist. However, they exist in the context of a different number system, something different from the number systems we are used to. The “complex numbers” that make up this system are pairs of numbers; do they really deserve to be called “numbers” in their own right?
Well, remember that fractions are pairs of numbers also. They clearly deserve to be called numbers in their own right, since they can measure “how much” in some contexts (for instance, “I ate three quarters of a pie”). So, the principle of considering a pair of numbers (in this example, 3 and 4) as a number in its own right is well established.

The fact remains, though, that complex numbers have much less direct relevance to real-world …

Solution Summary
This solution looks at real life applications of complex or imaginary numbers in 1294 words.

To continue with the answer check on

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
*Price with a welcome 20% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with Top Writers 4Me
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
See why 10k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Excellent job! super recommended.
Customer 452487, August 24th, 2021
Excellent. Thank you.
Customer 452487, August 26th, 2021
Perfect! Thank you guys for all of your great help! :)
Customer 452483, August 23rd, 2021
Well done! I thank you very much!
Customer 452483, July 9th, 2021
English 101
Amazing thank you!
Customer 452615, August 1st, 2022
English 101
Thank you guys for always being there and helping me always get a 100% on my assignments!
Customer 452483, August 16th, 2021
Healthcare Writing & Communications
Perfect! Thank you so much for all of your help!
Customer 452483, October 31st, 2021
Thank you, great work!
Customer 452483, July 19th, 2021
English 101
Perfect! Thank you so much for all of your hard work and help! Appreciate it!!
Customer 452483, August 30th, 2021
Thank you so much! Appreciate it!
Customer 452483, November 8th, 2021
Introduction to Sociology
Amazing! Thank you so much for your hard work, appreciate it!!
Customer 452483, October 24th, 2021
Introduction to Sociology
Thank you very much for all of your hard work!
Customer 452483, October 15th, 2021
Customer reviews in total
Current satisfaction rate
2 pages
Average paper length
Customers referred by a friend
20% OFF your first order
Use a coupon TOP20 and enjoy expert help with any task at the most affordable price.
Claim my 20% OFF Order in Chat
Open chat
Chat with us Live Here
Get in Touch with Our Live Chat Agents via WhatsApp on +1(346) 416-0954. Get Unlimited Access to Answers on Any Queries With Your Paper.