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Mathematics 15 Online
OpenStudy (anonymous):

Can you help me solve this rational function?

OpenStudy (anonymous):

\[\frac{ 2 }{ x+2 }+\frac{ 1 }{ x-2 } =\frac{ 13 }{ 21 }\]

OpenStudy (anonymous):

I know I need to find the LCD, I am not sure if it is (x+2)(x-1)?

OpenStudy (anonymous):

Woops meant (x+2)(x-2) for the LCD

OpenStudy (kamibug):

Close. :) Don't forget the 21! All three fractions need to have the same denominator before you can solve. 21(x+2)(x-2)

OpenStudy (anonymous):

@KamiBug Okay, thank you! So when I multiply the left side of the equation the x+2 and x-1 cancel out and I am left with 21(2) and 21(1) so I get 42+21 on the left side. On the right side 21 cancels out and I am left with 13(x+2)(x-2) so my right side of the equation looks like 13x+26+13x-26, simplify and then just 26x. My equation now looks like 42+21=26x. Did I do something wrong, I do not have an x^2(squared) value.

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