An equation with multiple radical radicals.

AI Thread Summary
The equation presented is 1/(√x+√(x+2)) + 1/(√x+√(x-2)) = 1/4. The solution to this equation is x = 257/16, which was solved manually. Participants find the problem intriguing, noting its deceptive simplicity. The discussion emphasizes the challenge of solving equations with multiple radical expressions. Overall, the equation serves as an engaging brainteaser for those interested in mathematical puzzles.
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Here's a slight brainteaser for you all ! Seems simple at sight but can be harder than you think :D P.S I'm working on it as of now, it's an interesting question.
Solve :
1/(√x+√(x+2))+1/(√x+√(x-2))=1/4
 
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x = 257/16 and i did the old fashioned way, by hand
 
Well, good job to you, sir.
 

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