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5. Exercise §6.5 #37. Let n e Z with n > 170. Prove that n is expressible as the sum of five squares of positive integers. (Hint: Express n - 169 = a² +b +² +&. If none of these squares are zero, then n = a² +b² +c² +d+13°. If exactly one of these squares is zero, say Continue.) d², then n = a² + b? +c²+5² + 12².

5. Exercise §6.5 #37. Let n e Z with n > 170. Prove that n is expressible as the sum of five squares of positive integers. (Hint: Express n - 169 = a² +b +² +&. If none of these squares are zero, then n = a² +b² +c² +d+13°. If exactly one of these squares is zero, say Continue.) d², then n = a² + b? +c²+5² + 12².

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5. Exercise §6.5 #37. Let n € Z with n > 170. Prove that n is expressible as the sum of five squares of positive integers. (Hint: Express n – 169 = a² + b² +² + &. If none of these squares are zero, then n = a² +b² +c² + d²+ 13°. If exactly one of these squares is zero, say d², then n = a² + b² +c² +5² + 12². Continue.)
Transcribed Image Text:5. Exercise §6.5 #37. Let n € Z with n > 170. Prove that n is expressible as the sum of five squares of positive integers. (Hint: Express n – 169 = a² + b² +² + &. If none of these squares are zero, then n = a² +b² +c² + d²+ 13°. If exactly one of these squares is zero, say d², then n = a² + b² +c² +5² + 12². Continue.)
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