MAC1105- 1.4 Quadratic Equations and Applications

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FALLB- College Algebra I-DBX-DL04 Alberto Martinez, Fall 2024

MAC1105- 1.4 Quadratic Equations and

Applications (Homework)

INSTRUCTOR

Alberto Martinez

FLORIDA NATIONAL

UNIVERSITY - MIAMI

Current Score

QUESTION

POINTS

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

TOTAL SCORE

10/100 10.0%

SUN, NOV 10, 2024

11:59 PM EST

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Assignment Submission & Scoring

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part

only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

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Communication Calendar

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Due Date

11/8/24, 11:36 AM MAC1105- 1.4 Quadratic Equations and Applications - FALLB- College Algebra I-DBX-DL04 Alberto Martinez, Fall 2024 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35947026 1/9

Fill in the blank.

A quadratic equation in x is an equation that can be written in the general form where a, b, and c are real numbers with a ≠ 0.

Fill in the blank.

The part of the Quadratic Formula, b − 4ac, known as the discriminant , determines the number of real solutions of a quadratic equation.

Solve the quadratic equation by factoring. (Enter your answers as a comma-separated list.)

ax + bx + c = 0,2

2

4x + 2x = 02

x =

0

1. [5/5 Points] LARAT11 1.4.001.DETAILS MY NOTES

PREVIOUS ANSWERS ASK YOUR TEACHER

2. [5/5 Points] LARAT11 1.4.003.DETAILS MY NOTES

PREVIOUS ANSWERS ASK YOUR TEACHER

3. [0/5 Points] LARAT11 1.4.007.DETAILS MY NOTES

PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER

11/8/24, 11:36 AM MAC1105- 1.4 Quadratic Equations and Applications - FALLB- College Algebra I-DBX-DL04 Alberto Martinez, Fall 2024 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35947026 2/9

Solve the quadratic equation by factoring. (Enter your answers as a comma-separated list.)

Solve the quadratic equation by factoring. (Enter your answers as a comma-separated list.)

Solve the quadratic equation by factoring. (Enter your answers as a comma-separated list.)

9 + 26x − 3x = 02

x =

0.3

x + 4x + 4 = 02

x =

9

64x − 81 = 02

x =

47

4. [0/5 Points] LARAT11 1.4.009.DETAILS MY NOTES

PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER

5. [0/5 Points] LARAT11 1.4.010.DETAILS MY NOTES

PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER

6. [0/5 Points] LARAT11 1.4.013.DETAILS MY NOTES

PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER

11/8/24, 11:36 AM MAC1105- 1.4 Quadratic Equations and Applications - FALLB- College Algebra I-DBX-DL04 Alberto Martinez, Fall 2024 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35947026 3/9

Solve the quadratic equation by factoring. (Enter your answers as a comma-separated list.)

Solve the equation by extracting square roots. When a solution is irrational, list both the exact solution and its approximation rounded to two decimal places. (If a solution is rational, enter NA for its approximation.)

smaller value x =

≈

larger value x =

≈

4x = 50x + 1502

x =

15

x = 1692

7. [0/5 Points] LARAT11 1.4.015.DETAILS MY NOTES

PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER

8. [–/5 Points] LARAT11 1.4.020.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

11/8/24, 11:36 AM MAC1105- 1.4 Quadratic Equations and Applications - FALLB- College Algebra I-DBX-DL04 Alberto Martinez, Fall 2024 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35947026 4/9

Solve the equation by extracting square roots. When a solution is irrational, list both the exact solution and its approximation rounded to two decimal places. (If a solution is rational, enter NA for its approximation.)

smaller value x =

≈

larger value x =

≈

Solve the equation by extracting square roots. When a solution is irrational, list both the exact solution and its approximation rounded to two decimal places. (If a solution is rational, enter NA for its approximation.)

smaller value x =

≈

larger value x =

≈

(x − 3) = 642

(x + 2) = 132

9. [–/5 Points] LARAT11 1.4.025.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

10. [–/5 Points] LARAT11 1.4.027.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

11/8/24, 11:36 AM MAC1105- 1.4 Quadratic Equations and Applications - FALLB- College Algebra I-DBX-DL04 Alberto Martinez, Fall 2024 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35947026 5/9

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise Solve the equation by extracting square roots. When a solution is irrational, list both the exact solution and its approximation rounded to two decimal places.

Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

(x + 6) = 542

x + 4x − 32 = 02

x =

11. [–/5 Points] LARAT11 1.4.028.MI.SA.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

12. [–/5 Points] LARAT11 1.4.033.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

11/8/24, 11:36 AM MAC1105- 1.4 Quadratic Equations and Applications - FALLB- College Algebra I-DBX-DL04 Alberto Martinez, Fall 2024 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35947026 6/9

Consider the following quadratic equation.

The equation can be solved by completing the square. Give the resulting equation after completing the square.

Solve the equation. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

x + 4x − 12 = 02

x +

=

2

x =

x + 6x + 6 = 02

x =

13. [–/5 Points] LARAT11 1.4.033.EP.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

14. [–/5 Points] LARAT11 1.4.035.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

11/8/24, 11:36 AM MAC1105- 1.4 Quadratic Equations and Applications - FALLB- College Algebra I-DBX-DL04 Alberto Martinez, Fall 2024 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35947026 7/9

Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

Use the discriminant to determine the number of real solutions of the quadratic equation.

zero

one

two

Use the discriminant to determine the number of real solutions of the quadratic equation.

zero

one

two

6x − 15x − 21 = 02

x =

2x − 6x + 6 = 02

−4x − 8x + 1 = 02

15. [–/5 Points] LARAT11 1.4.042.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

16. [–/5 Points] LARAT11 1.4.053.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

17. [–/5 Points] LARAT11 1.4.054.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

11/8/24, 11:36 AM MAC1105- 1.4 Quadratic Equations and Applications - FALLB- College Algebra I-DBX-DL04 Alberto Martinez, Fall 2024 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35947026 8/9

Use the discriminant to determine the number of real solutions of the quadratic equation.

zero

one

two

Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.)

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise Use the Quadratic Formula to solve the equation.

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x − 4x + 4 = 02

2x − x − 1 = 02

x =

2x − 5x − 6 = 02

18. [–/5 Points] LARAT11 1.4.056.DETAILS MY NOTES ASK YOUR TEACHER

19. [–/5 Points] LARAT11 1.4.062.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

20. [–/5 Points] LARAT11 1.4.067.MI.SA.DETAILS MY NOTES

ASK YOUR TEACHER PRACTICE ANOTHER

11/8/24, 11:36 AM MAC1105- 1.4 Quadratic Equations and Applications - FALLB- College Algebra I-DBX-DL04 Alberto Martinez, Fall 2024 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35947026 9/9