SOLUTION: The sum of the reciprocals of two consecutive integers is 5/6. Find the two integers? Smaller value Larger value

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Question 233324: The sum of the reciprocals of two consecutive integers is 5/6. Find the two integers?
Smaller value
Larger value
Answer by Alan3354(69443) About Me  (Show Source):
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The sum of the reciprocals of two consecutive integers is 5/6. Find the two integers?
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1/x + 1/(x+1) = 5/6
x+1 + x = 5x(x+1)/6
12x + 6 = 5x^2 + 5x
5x^2 - 7x - 6 = 0
(5x + 3)*(x - 2) = 0
x = 2
--> 2 & 3