SOLUTION: Question: The sum of the reciprocal of an integer and the reciprocal of six-more-than-that-integer is the same as 5 / 36. I have no idea how to start to set this up or solve it.

Question 205516: Question: The sum of the reciprocal of an integer and the reciprocal of six-more-than-that-integer is the same as 5 / 36.
I have no idea how to start to set this up or solve it. I am so confused.
Thank you for the help
Answer by Targetweek(62) (Show Source): You can put this solution on YOUR website!
so
and
now you have a systems of equations and can solve it
first substitute the second equation into the first
1.
2. Get the same denominator
a.
->
b.
->
3. Simplify by addiing together
->
4. Simplify further
a.
->
b.
->
c.
->
->
d.
->
5. Now get everything over to one side and simplify
a.
6.Now use the quadratic formula to solve for x

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=291601 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.0055606995840675, -5.99444958847296. Here's your graph:

and there are your two answers
... actually it's not... those aren't integers... are you sure you input the problem verbatim
RELATED QUESTIONS
the sum of an integer and its reciprocal is 145/12. what is the integer. (answered by Alan3354)

The sum of an integer and its reciprocal is 65/8. Find the integer. (answered by Alan3354,unlockmath)

solving integer problems the sum of an integer and its reciprocal is 68/8. find the... (answered by ewatrrr,Fombitz)

The sum of the integer and twice its reciprocal is 11/3. Find the... (answered by ichudov)

The reciprocal of two times a certain integer plus the reciprocal of two more times than... (answered by Nate,Paul)

Please help me set up and solve this problem. The reciprocal of twice an integer added... (answered by malaydassharma,ankor@dixie-net.com)

The sum of twice a positive integer and 4 times the reciprocal of the integer is 9. Find... (answered by nyc_function)

one integer is 5 less than the another. The sum of twice the reciprocal of the lesser... (answered by Theo,greenestamps)

A positive integer is 5 less than another. If the sum of the reciprocal of the smaller... (answered by stanbon)