SOLUTION: The sum of the reciprocals of two consecutive integers is 7/12. Find the two integers.
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Question 103393This question is from textbook intermediate algebra
: The sum of the reciprocals of two consecutive integers is 7/12. Find the two integers.
This question is from textbook intermediate algebra
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Multiply both sides by 12x*(x+1) to remove all denominators.
Distributive property and simplify.
Distributive property.
Additive inverse of 24x+12
Use the quadratic equation,
where a=7, b=-17, and c=-12
and
Since the answer we are looking for needs to be an integer choose
or
Verify your answer.
Good answer
Two integers are 3 and 4.
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