Question 615679
PLEASE HELP ME I DONT KNOW WHAT TO DO!!!!!! (2)/(n)+(1)/(n+1)=11/(n^2+n)


{{{(2)/n + 1/(n+1) = 11/(n^2+n)}}}


2(n + 1) + n = 11 ----- Multiplying both sides of equation by LCD, {{{n^2 + n}}}


2n + 2 + n = 11


2n + n = 11 - 2


3n = 9


n = {{{9/3}}}, or {{{highlight_green(3)}}}


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Check
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{{{(2)/n + 1/(n+1) = 11/(n^2+n)}}}


{{{2/3 + 1/(3 + 1) = 11/(3^2 + 3)}}}


{{{2/3 + 1/4 = 11/(9 + 3)}}}


{{{2/3 + 1/4 = 11/12}}}


{{{8/12 + 3/12 = 11/12}}}


{{{11/12 = 11/12}}} (TRUE)


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