(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm helping a friend out with an optimization problem, and I wound up with a tricky equation in which I have to solve for x. Is there a particular way to go about doing this?

[itex]4x^2 - 2x \sqrt{r^2 - x^2} - 2r^2 = 0[/itex],

where [itex]r[/itex] is a positive constant.

2. Relevant equations

3. The attempt at a solution

So far I've only typed the equation into WolframAlpha, but the solution they provide is beyond my understanding.

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# Homework Help: Tricky algebraic equation

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