SOLUTION: N is a positive integer where: 2/n+2/n+3 =1

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Question 1113537: N is a positive integer where:
2/n+2/n+3 =1

Found 3 solutions by josgarithmetic, amalm06, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The written equation is not absolutely clear, but if it is as intended, then
2%2Fn%2B2%2Fn%2B3+=1+.


You asked for N.
Your equation contains none of N.
n%3C%3EN, or do you mean differently?

Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
4/n = -2
n=4/(-2)=-2 (Answer)

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
2%2Fn + 2%2F%28n%2B3%29 = 1


========>


2*(n+3) + 2n = n*(n+3)


2n + 6 + 2n = n^2 + 3n


n^2 - n - 6 = 0


(n-3)*(n+2) = 0.


The roots are n= 3  and  n= -2.


Since you are looking for positive n, only the root n= 3 is the solution.


Answer.  Positive integer n = 3.

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In future,  when there are formulas in your post,  use parentheses to separate different parts and make clear which part of the formula
is the numerator and which part is the denominator.  Otherwise your formulas are ambiguous and/or unreadable.

In this case, the correct writing is

(2/n) + 2/(n+3) = 1.