Find all real solutions of the following rational equation and check any results. 5 X+6 1 + -=1 X

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.4: Quadratic Equations
Problem 142E
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Find all real solutions of the following rational equation and check any results.
5 1
- +
x+6 X
= 1
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O 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. 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.)
OC. 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.)
O D. There are no real solutions and no extraneous solutions.
Transcribed Image Text:Find all real solutions of the following rational equation and check any results. 5 1 - + x+6 X = 1 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O 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. 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.) OC. 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.) O D. There are no real solutions and no extraneous solutions.
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