Write a word problem involving a quadratic function. How would you explain the steps in finding the solution to someone not in this class?

Problem:
My garden is 18 ft long and 15 ft. wide. I like to decrease the length by x feet and increase the width by the same number of feet. The equation A = (18-x)(15+x) = 270 + 3x - x^2 models the new area of the garden.
Let x = 2 ft.
A = (18-2)(15+2) = 16 x 17 = 272 ft^2
It means that if I decrease the length by 2 ft and increase the width by 2 ft then the new area of the garden will be 272 ft^2.
Let x = 5 ft.
A = (18-5)(15+5) = 13 x 20 = 260 ft^2
It means that if I decrease the length by 5 ft and increase the width by 5 ft then the new area of the garden will be 260 ft^2.

Is this a good example of a quadratic function for an quadratic equation?

Solution Preview

The first part which leads to a quadratic equation is correct. For the next part which involves finding a solution, you have two choices: One is to take a ...

Total of 18 Questions on Quadratic equations, factoring and solving word problems. ... I have answered eighteen questions on factoring of quadratic equations. ...

Quadratics. How do you compute the intercepts of a quadratic function? In case of a quadratic function, why are there two x-intercepts and one y-intercept? ...

... and then graph the function. For questions 3-4, factor the quadratic expression completely, and find the roots of the expression. For question 5, complete the ...

5 Questions on Graphing Quadratics and Inequalities. ... 5. Determine without graphing whether the given quadratic function has a maximum value or a minimum value ...

... (please see the attached file for the remaining questions). ... player 1. For any fixed value of a2, player 1's payoff function a1(a2 − a1) is a quadratic in a1 ...

... Please see attached for all questions. ... and thank you for posting your question to Brainmass ... Word Problems, Equations, Inequality, Quadratic Equations are solved ...

... 1G: Discussion Questions 1. Give an example of an ... graph of the above equations formed in question 2, and ... 4. Derive the quadratic and linear equations from the ...

... b) Give at least 2 reasons why this is method of choice. It can be applied to any type of quadratic equations. ... The solution looks at a crytic math questions. ...

... using the quadratic equation: 2x^2 - 3x - 4 = 0 (See attachment for all questions). See attachment please! This shows how to solve quadratic equations using a ...