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BrMO 2005

The integer is positive. There are exactly pairs of positive integers satisfying

Prove that is a perfect square.

This factors to

Clearly, this implies that there are divisors of Thus, is either of the form or both of which are perfect 4th powers. Thus, is a perfect square.

Math Problems And Solutions

NEXT CANADA'S LENA FOR SIMONS

NEXT Canada’s LENA for Simons ( Icône )
Photographer: Owen Bruce

Montreal

J.C. Williams Group’s 2016 Retail Outlook – Please Pass the Aspirin!

The Canadian retail industry continues to experience dramatic change as we plunge into another year. Often retailers are optimistic and heavy into the launch of a New Year. 1,315 more words

Retail