What are some real world applications of quadratics?

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SUMMARY

Quadratic equations are essential in various real-world applications, particularly in fields such as optics, pH buffer calculations, and geometric surface problems involving rectangular shapes. These equations can accurately describe trajectories, such as the path of an object in free fall, assuming air resistance is negligible. High school mathematics often introduces these concepts, but practical applications are frequently overlooked. Resources like Intermediate Algebra and College Algebra textbooks provide exercises that illustrate these applications effectively.

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  • Understanding of quadratic equations and their properties
  • Basic knowledge of optics and light behavior
  • Familiarity with pH concepts and buffer solutions
  • Geometry principles related to surface area and volume calculations
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Students, engineers, mathematicians, and educators interested in applying quadratic equations to solve practical problems in physics, chemistry, and geometry.

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
 

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