What are some real world applications of quadratics?

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Quadratic equations have practical applications in various fields, including optics, pH buffer calculations, and geometric problems involving rectangular shapes. They can model real-world phenomena such as projectile motion, where the path of an object in free fall can be described by a quadratic function. The discussion emphasizes the importance of understanding these applications beyond abstract word problems typically encountered in high school. Participants encourage exploring algebra textbooks for more examples of real-world applications. Overall, quadratic equations play a crucial role in solving practical engineering and mathematical problems.
5ymmetrica1
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So in high school my teacher would like to always talk about how useful quadratic equations are in a diverse set of circumstances when using math to measure and calculate real life phenomena, but he never really mentioned any real world applications outside of a few abstract word problems.

So I'd like to ask the engineers and mathematicians here, what are some real world situations where quadratic equations would be used to solve a particular problem?
 
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As a quick response, a few application areas which come to mind are Optics, and pH Buffers, and some geometric surface problems based on rectangular shapes. Check your book (assuming either Intermediate Algebra, or College Algebra) for application problem exercises, since a good Algebra book would have them.
 
5ymmetrica1 said:
So in high school my teacher would like to always talk about how useful quadratic equations are in a diverse set of circumstances when using math to measure and calculate real life phenomena, but he never really mentioned any real world applications outside of a few abstract word problems.

So I'd like to ask the engineers and mathematicians here, what are some real world situations where quadratic equations would be used to solve a particular problem?

Go to a high building. Jump off the building. Your path can be accurately described using quadratic equations (ignoring air resistance).
 
micromass said:
Go to a high building. Jump off the building.

Don't do this.
 
I have to agree with diffy, as then I would not be able to calculate anything :D

Thanks for the replies everyone
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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