SOLUTION: The sum of two consecutive integers is 5/6 but the lower if the two is definitely negative so: 1/ x + 1/x+1 = 5/6 X is negative

Question 1071700: The sum of two consecutive integers is 5/6 but the lower if the two is definitely negative so:
1/ x + 1/x+1 = 5/6
X is negative
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of the inverse of two consecutive integers is 5/6 but the lower of the two is definitely negative so:
1/ x + 1/(x+1) = 5/6
X is negative
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[x+1+x]/(x^2+x) = 5/6
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12x+6 = 5x^2+5x
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5x^2 - 7x - 6 = 0
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5x^2 -10x+3x - 6 = 0
5x(x-2)+3(x-2) = 0
(x-2)(5x+3) = 0
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Negative solution::
x = -3/5
x + 1 = 2/5
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Note:: These are not integers.
Cheers,
Stan H.
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