Find all real solutions of the following rational equation and check any results. 1 1 - 14 += X-7 x+7 x² - 49 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The solution(s) is/are and the extraneous solution(s) is/are (Type exact answers, using radicals as needed. Use a comma to separate answers as needed.) O B. There are no real solutions, but an extraneous solution of (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) OC. The solution(s) is/are and there are no extraneous solutions. (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O D. There are no real solutions and no extraneous solutions.
Find all real solutions of the following rational equation and check any results. 1 1 - 14 += X-7 x+7 x² - 49 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The solution(s) is/are and the extraneous solution(s) is/are (Type exact answers, using radicals as needed. Use a comma to separate answers as needed.) O B. There are no real solutions, but an extraneous solution of (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) OC. The solution(s) is/are and there are no extraneous solutions. (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O D. There are no real solutions and no extraneous solutions.
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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![**Problem:**
Find all real solutions of the following rational equation and check any results.
\[
\frac{1}{x-7} + \frac{1}{x+7} = \frac{-14}{x^2 - 49}
\]
---
**Choices:**
**A.** The solution(s) is/are [___] and the extraneous solution(s) is/are [___].
(Type exact answers, using radicals as needed. Use a comma to separate answers as needed.)
**B.** There are no real solutions, but an extraneous solution of [___].
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
**C.** The solution(s) is/are [___] and there are no extraneous solutions.
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
**D.** There are no real solutions and no extraneous solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8fa05ee-52b8-4b3d-a3d0-54c9685a9d54%2Fa1d9a726-3161-4ded-a701-a7fc6924036d%2Fyr6083_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem:**
Find all real solutions of the following rational equation and check any results.
\[
\frac{1}{x-7} + \frac{1}{x+7} = \frac{-14}{x^2 - 49}
\]
---
**Choices:**
**A.** The solution(s) is/are [___] and the extraneous solution(s) is/are [___].
(Type exact answers, using radicals as needed. Use a comma to separate answers as needed.)
**B.** There are no real solutions, but an extraneous solution of [___].
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
**C.** The solution(s) is/are [___] and there are no extraneous solutions.
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
**D.** There are no real solutions and no extraneous solutions.
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