Solve the equation: m² + 14m + 40 = 0 Answer: m = Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For example, if you get 4 and 2 as your answers, then enter 4,-2/3 in the box. 3 Video Question Help:
Solve the equation: m² + 14m + 40 = 0 Answer: m = Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For example, if you get 4 and 2 as your answers, then enter 4,-2/3 in the box. 3 Video Question Help:
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.3: Solving Quadratic Equations By Graphing
Problem 35PPS
Related questions
Question
![### Solving Quadratic Equations
Solve the equation: \( m^2 + 14m + 40 = 0 \)
**Answer: \( m = \) [____]
Write your answers as a list of integers or reduced fractions, with your answers separated by a comma(s). For example, if you get 4 and \(-\frac{2}{3}\) as your answers, then enter 4, \(-2/3\) in the box.
**Question Help:** [Video](#)
#### Detailed Explanation:
The question given is a quadratic equation \( m^2 + 14m + 40 = 0 \). The task is to solve for the variable \( m \).
1. **Identify Coefficients:**
- \( a = 1 \) (coefficient of \( m^2 \))
- \( b = 14 \) (coefficient of \( m \))
- \( c = 40 \) (constant term)
2. **Quadratic Formula:**
Use the quadratic formula \( m = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) to solve for \( m \),
substituting the identified coefficients.
3. **Factoring Method:**
You can also attempt factoring, finding two numbers that multiply to 40 and add to 14.
4. **Solve and Simplify:**
After solving, express your answers as integers or reduced fractions.
### Example:
If after solving, you find the values of \( m \) to be 4 and \(-\frac{2}{3} \), you should enter your answer in the following format: 4, -2/3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a79e915-3d5c-4c79-9ba5-7a5ef81967b7%2Fd4c09cd2-d567-42eb-99a2-2b649201754f%2Fva0yfv9_processed.png&w=3840&q=75)
Transcribed Image Text:### Solving Quadratic Equations
Solve the equation: \( m^2 + 14m + 40 = 0 \)
**Answer: \( m = \) [____]
Write your answers as a list of integers or reduced fractions, with your answers separated by a comma(s). For example, if you get 4 and \(-\frac{2}{3}\) as your answers, then enter 4, \(-2/3\) in the box.
**Question Help:** [Video](#)
#### Detailed Explanation:
The question given is a quadratic equation \( m^2 + 14m + 40 = 0 \). The task is to solve for the variable \( m \).
1. **Identify Coefficients:**
- \( a = 1 \) (coefficient of \( m^2 \))
- \( b = 14 \) (coefficient of \( m \))
- \( c = 40 \) (constant term)
2. **Quadratic Formula:**
Use the quadratic formula \( m = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) to solve for \( m \),
substituting the identified coefficients.
3. **Factoring Method:**
You can also attempt factoring, finding two numbers that multiply to 40 and add to 14.
4. **Solve and Simplify:**
After solving, express your answers as integers or reduced fractions.
### Example:
If after solving, you find the values of \( m \) to be 4 and \(-\frac{2}{3} \), you should enter your answer in the following format: 4, -2/3.
Expert Solution
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 with 3 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
