+0  
 
+1
81
1
avatar+70 


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 \(abcd\).

 Jan 28, 2021
 #1
avatar
-1

The solutions are 2.2192, 1.33938, 1.09044, and 2.4682, and their product is 8.

 Jan 28, 2021

65 Online Users

avatar
avatar
avatar
avatar
avatar
avatar