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Math Help - Solving a problem involving nonlinear functions and equations

  1. #1
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    Solving a problem involving nonlinear functions and equations

    Hello, quick question. I'm pretty sure I know how to do this, but it's just slipping my mind right now. Could anyone tell me how to solve this problem?

    If a≠0 and 5/x=5+a/x+a, what is the value of x?
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  2. #2
    A Plied Mathematician
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    I'm guessing you meant

    \dfrac{5}{x}=\dfrac{5+a}{x+a}.

    Is that correct? (You should be more careful with parentheses!)

    If this is correct, then I don't think it's really nonlinear. What would you do as a first step?
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  3. #3
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    Yup, that's what I meant. What I tried to do first was get a common denominator on both sides, so I multiplied x on the right side and x+a on the left side.
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  4. #4
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    Quote Originally Posted by Mariolee View Post
    Yup, that's what I meant. What I tried to do first was get a common denominator on both sides, so I multiplied x on the right side and x+a on the left side.
    I think you have gone the way right! and then x=5. So what is wrong here??!
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  5. #5
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    Dang, I did know how to do this. Thanks guys!
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