S. Activity 2: Make Me an Equation Use a variable to represent an unknown quantity and then write an equation in a single variable based on the given information. Use x as the variable. 1) The sum of two numbers is 14. If the product of these numbers is 48, what are the numbers? 2) The area of a rectangular garden is 56 m². If the length of this garden is one meter longer than its width, what are the dimensions of the garden? 3) Michael works twice as fast as Mario. If it takes 6 hours for the two boys to finis the job, how long will it take for Michael to do the job alone? 4) The area of a rectangular board is 6 square meters. If its length is one mete longer than its width, how long is the cardboard? 5) The product of two consecutive even numbers is 224, find the smaller numbe
S. Activity 2: Make Me an Equation Use a variable to represent an unknown quantity and then write an equation in a single variable based on the given information. Use x as the variable. 1) The sum of two numbers is 14. If the product of these numbers is 48, what are the numbers? 2) The area of a rectangular garden is 56 m². If the length of this garden is one meter longer than its width, what are the dimensions of the garden? 3) Michael works twice as fast as Mario. If it takes 6 hours for the two boys to finis the job, how long will it take for Michael to do the job alone? 4) The area of a rectangular board is 6 square meters. If its length is one mete longer than its width, how long is the cardboard? 5) The product of two consecutive even numbers is 224, find the smaller numbe
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![for the roots of each of the given equation below.
4) + =2
3
1) x(x - 5) = 0
2 2
2) x2 - 2x- 24 = 0
3) 2x2 + 5x – 7 = 0
5) (3x – 5)(2x + 1) = 0
Activity 2: Make Me an Equation
Use a variable to represent an unknown quantity and then write an equation in a single
variable based on the given information. Use x as the variable.
1) The sum of two numbers is 14. If the product of these numbers is 48, what are
the numbers?
2) The area of a rectangular garden is 56 m². If the length of this garden is one
meter longer than its width, what are the dimensions of the garden?
3) Michael works twice as fast as Mario. If it takes 6 hours for the two boys to finish
the job, how long will it take for Michael to do the job alone?
4) The area of a rectangular board is 6 square meters. If its length is one meter
longer than its width, how long is the cardboard?
5) The product of two consecutive even numbers is 224, find the smaller number.
Let's Understand
The concept of quadratic equations is illustrated in many real-life situations.
blems that arise from these situations, such as those involving area, work, profits
many more, can be solved hy anniuing ti
AQJE
IS](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72914f58-390a-4e69-9b77-a6e7a481066a%2Fda030cf5-4532-4454-8a26-49a11b84b803%2Fhky6npl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:for the roots of each of the given equation below.
4) + =2
3
1) x(x - 5) = 0
2 2
2) x2 - 2x- 24 = 0
3) 2x2 + 5x – 7 = 0
5) (3x – 5)(2x + 1) = 0
Activity 2: Make Me an Equation
Use a variable to represent an unknown quantity and then write an equation in a single
variable based on the given information. Use x as the variable.
1) The sum of two numbers is 14. If the product of these numbers is 48, what are
the numbers?
2) The area of a rectangular garden is 56 m². If the length of this garden is one
meter longer than its width, what are the dimensions of the garden?
3) Michael works twice as fast as Mario. If it takes 6 hours for the two boys to finish
the job, how long will it take for Michael to do the job alone?
4) The area of a rectangular board is 6 square meters. If its length is one meter
longer than its width, how long is the cardboard?
5) The product of two consecutive even numbers is 224, find the smaller number.
Let's Understand
The concept of quadratic equations is illustrated in many real-life situations.
blems that arise from these situations, such as those involving area, work, profits
many more, can be solved hy anniuing ti
AQJE
IS
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)