Author 
Topic 

raghu
Senior Member
USA
37 Posts 
Posted  05/14/2008 : 20:38:17

This is a homework problem my 5th grade son has got in his accelerated math class and I have no clue as to how to proceed. the two positive integer solutions of the equation x mx + n = 0 are k and t where m an n are primes and k > t. What is the value of m^n +n^m + k^t + t ^k.
Could use some help 


Subhotosh Khan
Advanced Member
USA
9117 Posts 
Posted  05/14/2008 : 21:58:52

quote: Originally posted by raghu
This is a homework problem my 5th grade son has got in his accelerated math class and I have no clue as to how to proceed. the two positive integer solutions of the equation x mx + n = 0 are k and t where m an n are primes and k > t. What is the value of m^n +n^m + k^t + t ^k.
Could use some help
This is a fifth grade problem?!!
I feel so inadequate  I have no idea where to even begin!!! 


peppers18
Advanced Member
Canada
124 Posts 
Posted  05/14/2008 : 22:17:48

the clue "m and n are primes" is a HUGE jumping off point.
when you factor xmx+n=0, you are looking for factors of n whose sum is m. well, since n is prime, the factors are n and 1. so the sum is m=1+n. since m and n are both primes, which 2 primes make this equation work?
see what you can do from this 


Subhotosh Khan
Advanced Member
USA
9117 Posts 
Posted  05/14/2008 : 22:22:29

quote: Originally posted by peppers18
the clue "m and n are primes" is a HUGE jumping off point.
That is clever!!! 


raghu
Senior Member
USA
37 Posts 
Posted  05/15/2008 : 06:52:57

Thank you M(s/r) peppers18 and Mr Khan. I think I can take it from there. I was helpless and felt hopeless when I saw my son's blank face. Thanks again. 



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