Thursday, September 12, 2013

numbers

The number of pairs (m, n) of positive integers such that m^4 + n = 100000001 is ?




Answer:

on inspection 100^4 + 1 = 100000001
Beyond hundred n will no longer remain a positive integer. 
So, this is the maximum value of m possible.

So, 100 pair of (m,n) are possible, starting from 1.

An excel sheet is shown to elaborate the result.



  




























 


































   






























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