A new type of equation to meet several equation descriptions. Can you solve this using known techniques?

[Trurl]

y = (((pnp^2/ x ) + x^2) / pnp)

 

pnp = x * y

 

(((((pnp^2 / x) + x^2)) / x) / pnp) where y = 0

 

 

If all of these are true in the factors we wish to find, x and y, is there a limit; a range; that could be computed that said if x is this big then y is that big? It wouldn’t be a differential equation that solves a spring. But how do I find and x that is true by testing if y is also true in these 4 constraints?

 

It is a simple idea, but what is the math that completes it? I know that where y on the graph equals zero x has the value approximate to the smaller factor. I have an equation that will tell me y factor knowing x. If you move x larger y gets smaller. Move x smaller y gets larger. There is only a certain range that will prove this true. Combine that with all the other constraints you have and equation that solves a polynomial.