How do you solve \frac { 3} { n } + \frac { 3} { n ^ { 2} - 5n } = \frac { 1} { n ^ { 2} - 5n }?

1 Answer
Aug 14, 2017

"Answer :"n=13/3

Explanation:

3/n+3/(n^2-5 n)=1/(n^2-5 n)

3/n=1/(n^2-5 n)-3/(n^2-5 n)

3/n=(-2)/(n^2-5 n)

-2 n=3(n^2-5 n)

-2 n=3 n^2-15n

3n^2-15n+2n=0

3 n^2-13n=0

3n^2=13n

3cancel(n^2)=13cancel(n)

3n=13

(cancel(3)n)/cancel(3)=(13)/3

n=13/3