SOLUTION: The sum of the reciprocals of two consecutive even integers is 5/12. Determine the two integers by setting up a rational equation to solve.

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Question 1160493: The sum of the reciprocals of two consecutive even integers is 5/12. Determine the two integers by setting up a rational equation to solve.
Answer by ikleyn(52878)   (Show Source): You can put this solution on YOUR website!
.

 +  = ,


and we look for even integer n.



You can reduce to quadratic equation and solve it formally.


Or you can easily guess the solution n = 4.     <<<---=== ANSWER


CHECK.   +  =  +  = .   ! Precisely correct !



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