7 Practical Uses of Quadratic Equations

Did math class also make you think about this question? Is that right? Are you aware that quadratic equations are used in a variety of ways in daily life? As a result, it is extremely important for human survival. Solving a quadratic equation can sometimes be unnoticed because it is natural to their brains. Quadratic equations are inherent in every field involving speed, area, or profitability. Indirectly or directly, it can affect you.

How do quadratic equations work? At least one squared variable must be present in the equation. x2 + bx + c = 0 is the most standard form of the quadratic equation. Since a, b, and c represent known numbers, X represents the unknown.

So, What Are the Practical Uses of Quadratic Equations?

1. In the Calculation of Profits.

Business profit is often calculated using quadratic equations. The quadratic equation will still be necessary when you are dealing with small products because you must determine how many of them will be profitable. Think of selling fluffy carpets with a target income of $100k. In order to calculate your average selling price, you must first determine your market value. Assuming $50 per carpet is appropriate in this case. So if you make a profit of $10 per carpet then you will have to form a quadratic equation in order to know how many carpets you should sell to hit $100k.

2. Calculate the areas of Rooms

The area of a room is calculated by means of quadratic equations whenever construction is happening. It is also possible to calculate the areas of other things, like a parcel of land and a box. As an illustration, let’s look at the construction industry. Most buildings, for example, are shaped like squares or rectangles. For rectangular buildings, each side is supposed to be twice as big as the other. A quadratic equation will be formed when you calculate how many square feet of material must cover that area.

3. Use of Quadratics in sports

A quadratic equation is used every day in sport in many different ways. In addition to gameplay and analysis, it has become extremely useful. 

Football analysts always calculate the form of a team or athlete whenever they need to determine that form. There may be one or two quadratic equations in this analysis. Scores are scored when players throw the ball into the net and measure the distance and time they need to take. You can calculate the ball’s height by using a velocity quadratic equation. A player’s brain solves the equation every time he scores, but it takes only milliseconds.

4. Learning Something New

Every day, we learn something new. Our education systems rely heavily on quadratic equations. It all starts in the classroom. Quadratic equations are solved every day by millions of students. Chances are you will be handling these types of calculations every day if you become a mathematics, physics, or computer science lecturer. Science and mathematics would be impossible to learn without it, it has become a part of our daily lives.

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5. Finding the speed

When speed is determined, a quadratic equation may be formed. This equation is used by kayakers to determine how fast they should go up or down a river. A kayaker is paddling upstream against the current of a 2km/hr river. As a result, the journey will take around 3 hours to and from if the person manages to travel 15 kilometers. For example, you have to form an equation like 3x*2 – 30x -12 = 0 before arriving at the speed a kayaker will be traveling. There will be one final answer: X stands for speed.

6. A satellite dish

A satellite dish is set up with the help of some quadratic equations. Since it has to be set up at the correct angle in order to be able to pick up signals effectively, it requires certain angles. Upon receiving the signal from the dish, it is transmitted to a feed horn that is connected to your TV or a station. In order to set up a dish to receive signals from two or three satellites simultaneously, a quadratic equation must be solved. The experience of a scientist or engineer may prevent him from noticing. The system must, however, be set up correctly in order for it to work.

7. Military and law enforcement

For moving objects such as cars and planes, the military or law enforcement often use quadratic equations. Additionally, they are used to measure distances between a military unit and an approaching enemy. In addition, quadratic equations are used by the military to predict where tanks and artillery will land. They use it when calculating the trajectory of bullets. In accidents on the road, it is used by traffic police to determine the speeds of the cars involved.


Thus, here are the practical applications of quadratic equations. Thus, it is important to be familiar with the concept and do lots of practice. What better way, than learning through practical examples, isn’t there? Yes, it is very much possible by joining Cuemath.com, where maths is taught with the help of practical examples, thus, the concepts become clear and get imbibed in the brain forever. Click here to join the platform right now. 

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