SOLUTION: The sum of the reciprocals of two consecutive even integers is 5/12.
Find the integers.
Algebra.Com
Question 1114940: The sum of the reciprocals of two consecutive even integers is 5/12.
Find the integers.
Found 3 solutions by josgarithmetic, Alan3354, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
-
discriminant,
-
The solution of the equation which is integer is n=4.
The integers for the question description are 4 and 6.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The sum of the reciprocals of two consecutive even integers is 5/12.
Find the integers.
Can you do the rest?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Knowing how to solve problems like this using formal algebra is of course valuable....
But logical analysis and a tiny bit of mental arithmetic finds the answer much more quickly.
The reciprocals of integers get very small very quickly. If the sum of the reciprocals of two integers is 5/12, the integers have to be very small.
Given that the two are consecutive even integers, the solution is found with little effort:
2 and 4? no...
4 and 6? yes!
RELATED QUESTIONS
The sum of the reciprocals of 2 consecutive even integers is 5/12. Find the integers. (answered by richwmiller)
The sum of the reciprocals of 2 consecutive even integers is 5/12. Find the... (answered by mananth)
The sum of reciprocals of two consecutive even integers is given below.
5/12. Find the (answered by robertb)
The sum of the reciprocals of two consecutive even integers is 11/60. Find the... (answered by funmath)
The sum of the reciprocals of two consecutive even integers is 11/60. Find the... (answered by ankor@dixie-net.com)
The sum of the reciprocals of two consecutive even integers is 7/24. Find these... (answered by checkley77)
the sum of the reciprocals of two consecutive even integers is 13/84 .find these... (answered by lwsshak3)
The difference of the reciprocals of two consecutive even integers is 1/12 Find the... (answered by CharlesG2)
The sum of the reciprocals of two consecutive integers is 7/12. Find the two... (answered by Fombitz)