SOLUTION: The reciprocal of the product of two consecutive integers is 1/42. Find integers. How do I do this???

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Question 414131: The reciprocal of the product of two consecutive integers is 1/42. Find integers.


How do I do this???
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let one of the integers = n
The other must be n+%2B+1
1%2F%28n%2A%28n+%2B+1%29%29+=+1%2F42
n%2A%28n+%2B+1%29+=+42
n%5E2+%2B+n+=+42
n%5E2+%2B+n+%2B+%281%2F2%29%5E2+=+%281%2F2%29%5E2+%2B+42
n%5E2+%2B+n+%2B+1%2F4+=+1%2F4+%2B+168%2F4
%28n+%2B+1%2F2%29%5E2+=+%2813%2F2%29%5E2%0D%0A%7B%7B%7Bn+%2B+1%2F2+=+13%2F2
n+=+12%2F2
n+=+6
n+%2B+1+=+7
The integers are 6 and 7