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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

USA
9114 Posts

 Posted - 05/14/2008 :  21:58:52 quote:Originally posted by raghuThis 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 helpThis is a fifth grade problem?!!I feel so inadequate - I have no idea where to even begin!!!

peppers18

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 x-mx+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

USA
9114 Posts

 Posted - 05/14/2008 :  22:22:29 quote:Originally posted by peppers18the 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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