Originally Posted by

**craigmain** Hi,

The graph $\displaystyle y=\frac{2}{x^2}+x^4$ has four real number solutions for values of $\displaystyle y > 3$.

I can draw the graph using my math tools, but this is quite a stinker to try and graph by hand.

I was wondering how you would find the four real solutions for a particular value of y, say 5. I have tried factoring it.

$\displaystyle \frac{2}{x^2}+x^4=5$

$\displaystyle x^2(x^4-5)=2$

There doesn't appear to be any way of factoring out the four real number solutions. What is the correct way to find values of the graph.

Thanks

Regards

Craig.