5x + 9 Identify roots and asymptotes x² + x - 20 has root(s) at I = 5л +9 x2 +x – 20 - has vertical asymptote(s) at x = 5x + 9

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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x² + x-20
5x +9
Identify roots and asymptotes
x2 + x – 20
5x +9
has root(s) at I =
x2 + x – 20
has vertical asymptote(s) at x =
5x + 9
x² + x – 20
will be non-zero:
Use interval notation to represent the four separate intervals where
5x +9
Type "inf" and "-inf" for 00 and -00, respectively.
Type the capital letter "U" to represent the union symbol U.
Transcribed Image Text:x² + x-20 5x +9 Identify roots and asymptotes x2 + x – 20 5x +9 has root(s) at I = x2 + x – 20 has vertical asymptote(s) at x = 5x + 9 x² + x – 20 will be non-zero: Use interval notation to represent the four separate intervals where 5x +9 Type "inf" and "-inf" for 00 and -00, respectively. Type the capital letter "U" to represent the union symbol U.
Test each interval
Solve inequalities by interpreting your results
You may receive full credit for this problem by giving the correct answer here.
(The steps above are provided to assist you with the process of finding the correct final answer.)
x2 + x - 20
< O on the interval(s):
5x +9
Type "inf" and "-inf' for oo and -oo, respectively.
Type the capital letter "U" to represent the union symbol U.
Transcribed Image Text:Test each interval Solve inequalities by interpreting your results You may receive full credit for this problem by giving the correct answer here. (The steps above are provided to assist you with the process of finding the correct final answer.) x2 + x - 20 < O on the interval(s): 5x +9 Type "inf" and "-inf' for oo and -oo, respectively. Type the capital letter "U" to represent the union symbol U.
Expert Solution
Step 1

Advanced Math homework question answer, step 1, image 1

 

Roots are x=4 and x= -5.

Step 2

Advanced Math homework question answer, step 2, image 1

Vertical asymptote is at x=(-9/5)

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