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Suppose that x and y are positive integers such that x^2y^3=46656. What is the sum of all possible values of x?

 Sep 12, 2020
 #1
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-1

The sum of all possible values of x is 736.

 Sep 12, 2020
 #2
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0

 

  x           

216         
27          
8            
1           

- 216

- 27

- 8

- 1

x = 216 + 27 + 8 + 1  - 216 - 27 - 8 - 1= 0 

 Sep 12, 2020
 #3
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0

The only positive integers that balance the equation are:

 

x = 216 + 27 + 8 + 1 = 252

 Sep 13, 2020

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