How do I solve for R in this equation?

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AI Thread Summary
To solve for R in the equation R - √(R² - X²) ≤ B - √(B² - (BX/A)²), the initial approach suggested is to move R to the other side before squaring both sides to eliminate the square root. It's important to handle the square roots carefully and consider the domain of the solutions. Squaring both sides can introduce extraneous solutions, so verifying the results is crucial. The discussion highlights the need for clarity in manipulating square root expressions. Overall, a methodical approach is essential for solving this type of inequality.
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Homework Statement



This is not homework; I'm working on a problem of my own...


I can't seem to remember how to solve equations like this (I'm trying to solve for R):

R - \sqrt{R^2 - X^2} \le B - \sqrt{B^2 - \left( \frac{BX}{A} \right) ^2}

Homework Equations



My initial thought was to square both sides, but I don't see how that would help.

The Attempt at a Solution



I don't really know where to start.
 
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You need to get rid of the square root expression containing R^2.
Move your single R over to the other side, and THEN square both sides.

You'll need to be careful when specifying the domain of solutions.
 
Yeah, thanks. I just drew a blank for some reason!
 

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