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

 Apr 1, 2021

Best Answer 

 #1
avatar+31287 
+2

(xy)2 =46656

xy = 216

 

add all of the factors of 216 to find the sum of all possible x values:
the factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216.

 Apr 1, 2021
 #1
avatar+31287 
+2
Best Answer

(xy)2 =46656

xy = 216

 

add all of the factors of 216 to find the sum of all possible x values:
the factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216.

ElectricPavlov Apr 1, 2021

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