SOLUTION: PLEASE HELP ME I DONT KNOW WHAT TO DO!!!!!! (2)/(n)+(1)/(n+1)=11/(n^2+n)

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Question 615679: PLEASE HELP ME I DONT KNOW WHAT TO DO!!!!!! (2)/(n)+(1)/(n+1)=11/(n^2+n)
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
PLEASE HELP ME I DONT KNOW WHAT TO DO!!!!!! (2)/(n)+(1)/(n+1)=11/(n^2+n)

%282%29%2Fn+%2B+1%2F%28n%2B1%29+=+11%2F%28n%5E2%2Bn%29

2(n + 1) + n = 11 ----- Multiplying both sides of equation by LCD, n%5E2+%2B+n

2n + 2 + n = 11

2n + n = 11 - 2

3n = 9

n = 9%2F3, or highlight_green%283%29

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%282%29%2Fn+%2B+1%2F%28n%2B1%29+=+11%2F%28n%5E2%2Bn%29

2%2F3+%2B+1%2F%283+%2B+1%29+=+11%2F%283%5E2+%2B+3%29

2%2F3+%2B+1%2F4+=+11%2F%289+%2B+3%29

2%2F3+%2B+1%2F4+=+11%2F12

8%2F12+%2B+3%2F12+=+11%2F12

11%2F12+=+11%2F12 (TRUE)

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