SOLUTION: the sum of the reciprocals of two consecutive even integers is 13/84 .find these integers

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Question 548495: the sum of the reciprocals of two consecutive even integers is 13/84 .find these integers
Answer by lwsshak3(11628) About Me  (Show Source):
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the sum of the reciprocals of two consecutive even integers is 13/84 .find these integers
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let x=first integer
x+2=consecutive even integer
..
(1/x)+(1/(x+2))=13/84
LCD:84x(x+2)
84(x+2)+84x=13x(x+2)
84x+168+84x=13x^2+26x
13x^2-142x-168=0
solve by following quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=13, b=-142, c=-168
Ans:
x≈-1.077 (reject, not an integer)
or
x=12
x+2=14
ans:
integers are: 12 & 14