SOLUTION: This is the hardest question out of all!! the question is... What are the solution(s) for the proportion x 1 ----- = ----

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Question 72946: This is the hardest question out of all!! the question is...
What are the solution(s) for the proportion x 1
----- = ----
5x+6 x
This also gives me four answers to choose from they are...
(a) 6, -1
(b) -6,-1
(c) 1, -1
(d) -6, 6
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
What are the solution(s) for the proportion:
x%2F%285x%2B6%29=1%2Fx
:
This also gives me four answers to choose from they are...
highlight%28a%29 6, -1
(b) -6,-1
(c) 1, -1
(d) -6, 6
x%285x%2B6%29%2Ax%2F%285x%2B6%29=x%285x%2B6%29%2A%281%2Fx%29

x%5E2=5x%2B6
x%5E2-5x-6=5x-5x%2B6-6
x%5E2-5x-6=0
%28x-6%29%28x%2B1%29=0
x-6=0 or x+1=0
x-6+6=0+6 or x+1-1=0-1
x=6 or x=-1 (a)