SOLUTION: please help me in this question: the sum of the reciprocal of two consecutive integers is 17/12.find the integers

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Question 70212This question is from textbook
: please help me in this question: the sum of the reciprocal of two consecutive integers is 17/12.find the integers This question is from textbook

Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
Trying the numbers 1 and 2 gives a sum of the reciprocals of 1+%281%2F2%29
Trying the numbers 2 and 3 gives a sum of the reciprocals of 5%2F6
If the sum is 1+%287%2F12%29 then the first number must be slightly less than 1 and 2.
If the sum is %2817%2F12%29then the first number must be slightly greater than 1 and 2.
Solving the problem using the quadratic formula and 1%287%2F12%29 gives a result of 0.937117256.
Solving the problem using the quadratic formula and %2817%2F12%29 gives a result of 1.070908304.
I am doubtful that this problem has an integer solution.