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Let a, b, c, and d be distinct real numbers such that
$a = \sqrt{4 + \sqrt{5 + a}}, \\
b = \sqrt{4 - \sqrt{5 + b}}, \\
c = \sqrt{4 + \sqrt{5 - c}}, \\
d = \sqrt{4 - \sqrt{5 - d}}.$
Compute $abcd$.

 Aug 19, 2023
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I found it here!

 

https://web2.0calc.com/questions/let-a-b-c-and-d-be-distinct-real-numbers-such-that

 Aug 19, 2023

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