ALGEBRA

How do you solve the rational equation:



(n/n-2)+(n/n+2)=(n/n^2-4)


I know that the LCD of the equation is (n+2)(n-2) because that is what you get when you factor out the n^2-4 in the last part of the question. I thought I did it right until I reached the end where I don't know how to solve it.

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asked by Katie
  1. So why not multiply each of the three terms by that LCD that you found to get

    n(n+2) + n(n-2) = n

    expand and solve as a quadratic.
    I factors very nicely and has 2 simple answers.

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    posted by Reiny
  2. That's just it. I don't know how to factor it out because i keep getting 2n^2-n=0

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    posted by Katie
  3. 2n^2 - n = 0 is correct.
    Now take out a common factor

    n(2n-1) = 0
    n=0 or n = 1/2

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    posted by Reiny

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