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raghu
Senior Member

USA
37 Posts

Posted - 05/14/2008 :  20:38:17  Show Profile  Reply with Quote
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
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Subhotosh Khan
Advanced Member

USA
9117 Posts

Posted - 05/14/2008 :  21:58:52  Show Profile  Reply with Quote
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!!!
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peppers18
Advanced Member

Canada
124 Posts

Posted - 05/14/2008 :  22:17:48  Show Profile  Reply with Quote
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
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Subhotosh Khan
Advanced Member

USA
9117 Posts

Posted - 05/14/2008 :  22:22:29  Show Profile  Reply with Quote
quote:
Originally posted by peppers18

the clue "m and n are primes" is a HUGE jumping off point.




That is clever!!!
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raghu
Senior Member

USA
37 Posts

Posted - 05/15/2008 :  06:52:57  Show Profile  Reply with Quote
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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