SOLUTION: Solve the rational equation 9/x^2-2x-8 + x/x+2=2

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Question 416408: Solve the rational equation
9/x^2-2x-8 + x/x+2=2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Solving for x

9%2F%28x%5E2-2x-8%29+%2B+x%2F%28x%2B2%29+=2   |Multiplying thru  with  (x-4)(x+2) 

     9 + x(x-4) = 2(x-4)(x+2) 

     9  + x^2 - 4x = 2[x^2 - 2x - 8]

     9  + x^2 - 4x = 2x^2 - 4x - 16   |combining Like terms

          x^2  -25 = 0

          x = ± 5

 CHECKING our Answer***

   9/7 + 5/7 = 14/7 = 2

   9/27 + 5/3 = 9/27 +45/27 = 54/27 = 2