# Solution for y + 1/y = x

1. Jan 4, 2010

### paridiso

1. y + 1/y = x

x = (1/2)$$\sqrt{x^2 - 4}$$ + 1/[(1/2)$$\sqrt{x^2 - 4}$$]

How do you come to the above conclusion by using the quadratic formula?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Jan 4, 2010

### diazona

First convert the equation you're given into a quadratic equation. It'll need to have one term with y^2, one term with just y, and one term that doesn't involve y at all. Can you think of a way to get it into that form? (Hint: multiply both sides of the equation by something)

3. Jan 5, 2010

### Mentallic

What exactly does "solution" mean?

$y\neq 0$ so I'm sure you're not looking for the roots of that graph.

4. Jan 5, 2010

### HallsofIvy

I presume paridiso meant "solve for y as a function of x". That is what diazona is talking about, certainly.

5. Jan 5, 2010

### diazona

Indeed it is... I hope that's what the OP meant too.