SOLUTION: the reciprocal of theproduct of two consecutive integers is 1/73. find the two integers
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Question 894080: the reciprocal of theproduct of two consecutive integers is 1/73. find the two integers
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
n and n+1 are the consecutive integers.
.
Built this way:
The product of the integers, .
The reciprocal of the product, .
That is ,
.
This is equivalent to , which MUST be factorable using only integers. 73 is a PRIME number.
Discriminant of the equation, .
, which is NOT a perfect square. This means neither n nor n+1 is an integers.
The question or problem description is wrong.
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