Question

I am required to make at least three (3) substantive posts in this discussion. Your initial response of at least 150 words. I need to describe two (2) uses for quadratic equations. Provide your own original examples.

Answer 1

Quadratic equations are equations of the form

In many real life problems, there arise the cases of quadratic equations. That means, quadratic equations have many real life applications.

(1) Suppose we have to make a box with some conditions: length should be 10 times the width and area should be 1000 units.

In this case before making the box we have to determine the actual values of length and breadth under the given conditions.

So let's assume that width= , then length=

length * width = area

, which is a quadratic equation

Solving we get the valus of length and breadth.

(2) Suppose we need to measure the speed of a stream: we know the actual speed of a boat which will take lesser time to cover a distance when it goes down stream stream than it goes upstream.

Suppose actual speed of a boat is 15 km/hr in still water. when it goes a distance of 20 km upstream it takes 1 hr more than it goes downstream of the same distance. Find the speed of the stream.

Let's assume that the speed of the stream is km/hr

Then speed of the boat upstream = 15- km/hr

speed of the boat downstream =15+ km/hr

Time taken to cover a distance of 20 km upstream=

Time taken to cover a distance of 20 km downstream=

It is given that,

Simplifying this we get a quadratic equation solving which we get the speed of the stream

Similarly there are many applications of quadratic equations to find distance, height etc.