Every quadratic equation has two solutions. In math they both apply and there is no reason to favor one over the other. In practical problems one answer may be ridiculous. Like getting a negative area or a negative weight. It is not necessarily true that one answer will always be the only one.

This is called algebra.

]]>And thank you very much for your help!!

]]>I am assuming this is what you want to solve:

]]>w squared = (1/LC) - (R squared / L squared)

I need to solve for the variable L.

]]>