19. Describe the nature of the roots of the equation 4n² + 6n + 25. Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.5: Solving Quadratic Equations By Completing The Square
Problem 47PFA
icon
Related questions
Question

Please help 19

SEP
18
☺
G
E
C
B
EXERCISES
Solve each equation by completing the square.
12. z² - 2z - 24 = 0
13. p² - 3p- 88 = 0
15. d² - ³/2 d + 1 = 0
16.3g² - 12g = −4
26. What is the conjugate of -7 - i√5?
27. Name the conjugate of 5 - 2i.
w.amc.glencoe.com/self_check_quiz
>
1
18. What value of c makes x² - x + c a perfect square?
19. Describe the nature of the roots of the equation 4n² + 6n + 25. Explain.
CONTENTS
tv
0,
Find the discriminant of each equation and describe the nature of the roots of th
equation. Then solve the equation by using the Quadratic Formula.
20. 6m² + 7m - 3 = 0
21. s² - 5s +9=0
22.36d² - 84d + 49 = 0
23. 4x² - 2x + 9 = 0
24.3p² + 4p = 8
25. 2k² + 5k = 9
D
MacBook Air
Q Search
14. x² 10x + 21 = 0
17. t²3t-7=0
-
Lesson 4-2 Quadratic Equations 219
W
D
33. x°-
ỵ-
5x² = x + 5 = U; 0da; 3 35. xº + 3x² +
4x + 12 = 0; odd; 1 37. x5 - 5x4 - 17x³ + 85x² +
A
O
Transcribed Image Text:SEP 18 ☺ G E C B EXERCISES Solve each equation by completing the square. 12. z² - 2z - 24 = 0 13. p² - 3p- 88 = 0 15. d² - ³/2 d + 1 = 0 16.3g² - 12g = −4 26. What is the conjugate of -7 - i√5? 27. Name the conjugate of 5 - 2i. w.amc.glencoe.com/self_check_quiz > 1 18. What value of c makes x² - x + c a perfect square? 19. Describe the nature of the roots of the equation 4n² + 6n + 25. Explain. CONTENTS tv 0, Find the discriminant of each equation and describe the nature of the roots of th equation. Then solve the equation by using the Quadratic Formula. 20. 6m² + 7m - 3 = 0 21. s² - 5s +9=0 22.36d² - 84d + 49 = 0 23. 4x² - 2x + 9 = 0 24.3p² + 4p = 8 25. 2k² + 5k = 9 D MacBook Air Q Search 14. x² 10x + 21 = 0 17. t²3t-7=0 - Lesson 4-2 Quadratic Equations 219 W D 33. x°- ỵ- 5x² = x + 5 = U; 0da; 3 35. xº + 3x² + 4x + 12 = 0; odd; 1 37. x5 - 5x4 - 17x³ + 85x² + A O
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra: Structure And Method, Book 1
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
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning