# Quadratic equation and its applications

Part 1: Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the height of the screen along the vertical as well. Use the Pythagorean theorem to find the width along the horizontal

In your post, include the length of the diagonal, the width, and the calculations needed to determine the horizontal length of your computer monitor. After you have calculated the approximate length using Pythagorean theorem, use a measuring device to measure the horizontal length of your monitor. Was your measurement close? Why might the measurements not be exactly the same?

Typing hint: Type Pythagorean theorem as a^2 + b^2 = c^2. Do not use special graphs or symbols because they will not appear when pasted to the discussion board.

Part 2: Using the Library, web resources, and/or other materials, find a real-life application of a quadratic function. State the application, give the equation of the quadratic function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as t and S depicted in the following example. Be sure to reference all sources using APA style.

Typing hint: To type x-squared, use x^2. Do not use special graphs or symbols because they will not appear when pasted to the Discussion Board.

When thrown into the air from the top of a 50 ft building, a ball's height, S, at time t can be found by S(t) = -16t^2 + 32t + 50. When t = 1, s = -16(1)^2 + 32(1) + 50 = 66. This implies that after 1 second, the height of the ball is 66 feet. When t = 2, s = -16(2)^2 + 32(2) + 50 = 50. This implies that after 2 seconds, the height of the ball is 50 feet.

Reference rough draft/explanation.

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#### Solution Preview

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(1)

Measured values:

Diagonal, d = 38.2 cm

Height, h = 23.1 cm

Horizontal length, w = 30.2 cm

Lets find w using the ...

#### Solution Summary

I have found the diagonal of my computer screen using quadratic equation. Also, I have provided a real life application of a quadric function and shown how to obtain various quantities using this function.

Quadratic Formula Application

Application Assignment #4

(Quadratic Equations)

Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

Part 1

Mrs. Thomas wants to do some renovations to her backyard. She wants to get a swimming pool built in the shape of the letter L. The shape is formed from two squares with side dimensions x and as shown.

A. Write down an expression for the area of the swimming pool surface.

B. The area A is to be 30 m2. Write a quadratic equation that expresses this information.

C. Find both the solutions of your equation in part (b). Show all work.

D. Which of the solutions in part (c) is the correct value of x for the pool? State briefly why you made this choice.

Part 2

Mrs. Thomas also has a garden in her yard and wants to put a 50-meter rectangular fence around it. She only needs to fence in 3 sides because the other side is alongside the house.

The width of the garden is denoted by x, and the length by y.

A. Write an expression for y in terms of x.

B. Write an expression for the area, A, of the garden, in terms of x.

C. If the area is 200 m2, find the dimensions of the garden.

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