sol10 - 2 (b) 95 = 5 · 19 Since 19 ≡ 3 (mod 4), 95...

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Math 465 Solution Set 10 Ae Ja Yee 1. Determine whether each of the following integers can be expressed as a sum of two squares. If so, find such a representation. (a) 65 (b) 95 Solution. (a) 65 = 5 · 13 = (1 2 + 2 2 )(2 2 + 3 2 ) = (1 · 2 + 2 · 3) 2 + (1 · 3 - 2 · 2) 2 = 8 2 + 1
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Unformatted text preview: 2 (b) 95 = 5 · 19 Since 19 ≡ 3 (mod 4), 95 cannot be expressed as a sum of two squares. 2 2. List your favorite topics from this course. 3. What topics discussed in this course were difficult for you to learn? 1...
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This note was uploaded on 07/23/2008 for the course MATH 465 taught by Professor Yee during the Spring '08 term at Penn State.

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