SOLUTION: I need help with this rational equation, [1/(x-2)]-(5/1)=1/(x+2) The answer is supposed to be: +,- [2sqrt(30)]/5 I always get an quadratic equation like 5x^2-20=0 (cant us

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Question 435795: I need help with this rational equation,
[1/(x-2)]-(5/1)=1/(x+2)
The answer is supposed to be: +,- [2sqrt(30)]/5
I always get an quadratic equation like 5x^2-20=0 (cant use the formula).
Thank you!
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi



  (x+2) - 5(x+2)(x-2) = (x-2)

  x+2 -5x^2 + 20 = x-2

       24 = 5x^2  | note the 24

       x^2 = 24/5  

       x = ± 

       x = ± 

       x = ±   |multiplying numerator and denominator by  

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