SOLUTION: Solve the rational equation 2/x-1-x/x+3=6/x^2+2x-3

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Question 416400: Solve the rational equation
2/x-1-x/x+3=6/x^2+2x-3
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Solving for x

2%2F%28x-1%29+-x%2F%28x%2B3%29=6%2F%28x%5E2%2B2x-3%29     |Multiplying thru  with  (x+3)(x-1)

    2(x+3) - x(x-1) = 6

    2x+6 - x^2 + x = 6

      x^2 -3x = 0   |combining Like terms

factoring

   x(x-3)= 0  

   x = 0

  (x-3)= 0  x = 3 



CHECKING our Answer(s)***

    -2 = 6/-3 = -2

    1 -3/6 = 1/2 = 6/12 = 1/2