FOR STUDENTS ONLY: 100 DHS AWARD FOR THE FIRST STUDENT SOLUTION AYMAN BADAWI E-MAIL your solution to [email protected], OR SLIDE IT UNDER MY DOOR NAB 262 QUESTION 1. Let a, b be positive integers (whole numbers) such that 49 is a factor (divisor) of a 2 + b 2 . Prove that 7 is a factor of a and 7 is a factor of b. Department of Mathematics & Statistics, American University Of Sharjah, P.O. Box 26666, Sharjah, United Arab Emirates E-mail address : [email protected], www.ayman-badawi.com 1

the challange

Download PDF Report

Upload
archana
View
213
Download
0

Embed Size (px)

DESCRIPTION

the problems to solver

Citation preview

FOR STUDENTS ONLY: 100 DHS AWARD FOR THE FIRSTSTUDENT SOLUTION

AYMAN BADAWI

E-MAIL your solution to [email protected], OR SLIDE IT UNDER MY DOOR NAB 262

QUESTION 1. Let a, b be positive integers (whole numbers) such that 49 is afactor (divisor) of a2 + b2. Prove that 7 is a factor of a and 7 is a factor of b.

Department of Mathematics & Statistics, American University Of Sharjah, P.O. Box26666, Sharjah, United Arab Emirates

E-mail address: [email protected], www.ayman-badawi.com