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Let a, b, c, and d be distinct real numbers such that

 

\( \begin{align*} a &= \sqrt{4 + \sqrt{5 + a}}, \\ b &= \sqrt{4 - \sqrt{5 + b}}, \\ c &= \sqrt{4 + \sqrt{5 - c}}, \\ d &= \sqrt{4 - \sqrt{5 - d}}. \end{align*}\)

Compute abcd.

 Nov 27, 2018
edited by CrystalRead  Nov 28, 2018
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avatar+171 
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Please convert the latex code to an image, or write it out in english.

 Nov 27, 2018

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