SOLUTION: Please help! We are in question as to correctly work this problem: n+5/n-3 (fraction) - n+ 3/n-5 (fraction) =16 Any help would be greatly appreciated! Rick

Algebra ->  Inequalities -> SOLUTION: Please help! We are in question as to correctly work this problem: n+5/n-3 (fraction) - n+ 3/n-5 (fraction) =16 Any help would be greatly appreciated! Rick      Log On


   

Question 1012138: Please help! We are in question as to correctly work this problem:
n+5/n-3 (fraction) - n+ 3/n-5 (fraction) =16
Any help would be greatly appreciated!
Rick
Found 3 solutions by Boreal, macston, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply everything by (n-3)(n-5)
n^2-25-(n^2-9)=16(n^2-8n+15)
-16=16n^2-128n+240
16n^2-128n+256=0
divide by 16
n^2-8n+16=0
(n-4)^2=0
n=4
check
9/1-(7/-1)=16

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
%28n%2B5%29%2F%28n-3%29-%28n%2B3%29%2F%28n-5%29=16 Multiply both sides by (n-3)
%28n%2B5%29-%28%28n-3%29%28n%2B3%29%29%2F%28n-5%29=16%28n-3%29 Multiply both sides by (n-5)
%28%28n%2B5%29%28n-5%29%29-%28%28n-3%29%28n%2B3%29%29=16%28n-3%29%28n-5%29
%28n%5E2-25%29-%28n%5E2-9%29=16%28n%5E2-8n%2B15%29
-16=16n%5E2-128n%2B240
0=16n%5E2-128n%2B256
0=n%5E2-8n%2B16
0=%28n-4%29%28n-4%29
n-4=0
n=4

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Please help! We are in question as to correctly work this problem:
n+5/n-3 (fraction) - n+ 3/n-5 (fraction) =16
Any help would be greatly appreciated!
Rick
You need to use PARENTHESES. Is this: %28n+%2B+5%29%2F%28n+-+3%29+-+n+%2B+3%2F%28n+-+5%29+=+16 or %28n+%2B+5%29%2F%28n+-+3%29+-+%28n+%2B+3%29%2F%28n+-+5%29+=+16?