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I recently saw this equation online.  

 

(X + 1)^ 4 = 81

 

It was solved in the following fashion 

 

1. X + 1 = (81)^ (1/4)

2. X + 1 = 3

3. X = 2

 

 

 

The site said Step 1. was wrong. Can anyone explain why exactly?

 Jul 25, 2016
 #1
avatar+33616 
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Step 1 isn't so much wrong as incomplete. There is an additional solution, namely -(81)^(1/4)

 

 

(-3)^4 = 81 as well as 3^4 = 81

.

 Jul 25, 2016

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