perplexus.info :: Just Math : Seventeen divides expression?

Seventeen divides expression? (Posted on 2015-04-26)

x, y are integers, and 17 divides both the expressions x²-2xy+y²-5x+7y and x²-3xy+2y²+x-y.

Does 17 always divide xy-12x+15y, for every choice of x and y?

If not, give an example.
If so, prove it.

No Solution Yet Submitted by K Sengupta

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re: solution...................a typo

Comment 3 of 3 |

(In reply to solution by Daniel)

Your xy-12+15y should read xy-12x+15y

Please edit.

Posted by Ady TZIDON on 2015-04-28 21:27:12

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