Quadratic equations are polynomial equations of the second degree, meaning they are equations containing a squared variable, as such they are very useful for calculating areas.
Say you own a small, but oddly shaped garden and wish to buy grass seed or turf to cover it. You know the lengths of the edges of the garden but you don't know the area and wish to calculate how much it is going to cost you to turf it.
Say grass seed costs §5 per square unit.
Your garden is a right angled triangle with lengths x, y perpendicular to each other with a square of edge length x attached to it.
The cost of seeding the garden is:
Cost of garden in § = (xy/2 + x^2)5
This is a quadratic equation
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You will apply them when solving quadratic equations in which the quadratic expression cannot be factorised.
Pros: There are many real life situations in which the relationship between two variables is quadratic rather than linear. So to solve these situations quadratic equations are necessary. There is a simple equation to solve any quadratic equation. Cons: Pupils who are still studying basic mathematics will not be told how to solve quadratic equations in some circumstances - when the solutions lie in the Complex field.
I think its the dropping of a golf ball off a building! This is because the formula for velocity when something is dropped is a quadratic formula, that is of degree 2.
Quadratic equations can be used in many real world situations, particularly in the fields of business, engineering, and science. They can be used to help predict how much a business will earn or lose and thus allow that business to figure out how to maximize its profit. Kayakers also use these equations to determinate their speed while traveling up or down a river.
Many real life physics problems are parabolic in nature. Parabolas can be shown as a quadratic equation. If you have two variables then usually you can use the equation to find the best solution to a problem. Also, it is a beginning in the world of mathematical optimization. Some equations use more than two variables and require the technique used to solve quadratics to solve them. I just ran an optimization of 128 variables. To understand the parameters I needed to set I had to understand quadratics.