What is the solution to the rational equation x over x squared minus 9 plus 1 over x plus 3 equals 1 over 4x minus 12 ?

Question

nnesha · Answer

$$\huge\rm 
\frac{ x }{ x^2-9}+\frac{ 1 }{  x+3}=\frac{ 1 }{ 4x-12 }$$ like this ?

anonymous · Answer

yes

nnesha · Answer

alright first solve left side 
apply difference of square method to factor x^2-9 $$\rm a^2-b^2=(a+b)(a-b)$$

nnesha · Answer

take square of both terms 
write ur answer as (sqrt of 1st term  + sqrt of 2nd term) (sqrt of 1st term - sqrt of 2nd term)
here is an example $$\rm x^2-16=(x+4)(x-4)$$

anonymous · Answer

x = -9 over 7
 x = 15
 x = 15 over 7
 x = 9

anonymous · Answer

these are the answers i have

nnesha · Answer

ok.
so what are the factors of x^2-9 ?

anonymous · Answer

(x-9)(x+9)

nnesha · Answer

hmm not
what is the square root of 9 ?

anonymous · Answer

3

nnesha · Answer

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