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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?

 Oct 3, 2020
 #1
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+1

a=1; b=1;d=a^2 * b^3; if(d==46656, goto4, goto5);printa, b; a++;if(a<250, goto2, 0);a=1;b++;if(b<250, goto2, discard=0; 

 

x              y

216         1
27          4
8            9
1            36

 

x=216 + 27 + 8 + 1 =252

 Oct 3, 2020
 #2
avatar+407 
+1

Thanks

ss333  Oct 3, 2020

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