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Power Equality Poser (Posted on 2015-03-29) Difficulty: 3 of 5
Find all nonzero integer solutions of this system of equations:

AA+B= B12 and, BA+B = A3

Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: Analytical Solution | Comment 3 of 4 |
(In reply to Analytical Solution by Steve Herman)

(1,-1) appears to be a solution also.

1(1 + -1) = -112
1(0) = 1 ... & ... -112  = 1

-1(1 + -1) = 13
-1(0) = 1 ... & ... 1 = 1


  Posted by Dej Mar on 2015-03-29 22:50:51

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