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Thanks!

 Jun 9, 2019
 #1
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0

x≈0.10582301703023519673

[0.10582301703023519673 + 1]^48 =125

 
 Jun 9, 2019
 #2
avatar+101085 
+3

x =                                          4     (√5 - 1) (4√5 - 1) (8√5 - 1) (16√5 - 1)

          _________________________________________________________________

            (√5 + 1) (4√5 + 1) (8√5 + 1) (16√5 + 1)   *   (√5 - 1) (4√5 - 1) (8√5 - 1) (16√5 - 1)

 

x =      4   (√5 - 1) (4√5 - 1) (8√5 - 1) (16√5 - 1)

          _____________________________________

             (5 - 1)  (√5 - 1) (4√5 - 1) (8√5 - 1)

 

x =    4  (√5 - 1) (4√5 - 1) (8√5 - 1) (16√5 - 1)

         _______________________________

         4   (√5 - 1) (4√5 - 1) (8√5 - 1)

 

x =  16√5 - 1

 

x + 1  =  16√5

 

(x + 1)48  =  (16√5)48

 

(x + 1)^48  = [ 5^(1/16 )]^48

 

(x + 1)^48  = 5^(48/16)

 

(x + 1)^48  = 5^3   =    125

 

 

cool cool cool

 
 Jun 9, 2019

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