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What is the largest positive integer n for which n^3+100 is divisible by n+10?

 

Can you please also write the solution in you answere? Thank you.

 Jun 25, 2020
 #1
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Sorry, I don't have an answer for you. This short computer code found it in millisecond!

 

a=1;c=a^3 +100; if(c%(a+10)==0, goto3, goto4);printc,a; a++;if(a<10000, goto1, 0)

 

OUTPUT: n = 890

 Jun 25, 2020
 #2
avatar+134 
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Ok, thanks

ItzMe  Jun 25, 2020

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