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What is the length of the segment of the number line whose endpoints satisfy \(|x-\sqrt[5]{16}|=3\)?

 Mar 23, 2024
 #1
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x - 16^(1/5)  = 3            16^(1/5)  - x =  3

 

x = 3 + 16^(1/5)            x = 16^(1/5) - 3

 

Length of the  segment = 

 

[ 3 + 16^(1/5) ] - [ 16^(1/5)  - 3  ]   =

 

3   + 3    =

 

6

 

 

cool cool cool

 Mar 23, 2024

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