# Thread: Solving a problem involving nonlinear functions and equations

1. ## 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?

2. 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?

3. 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.

4. Originally Posted by Mariolee
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??!

5. Dang, I did know how to do this. Thanks guys!