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Does the equation x² + y² +2²= 10¹0 +7 have a solution in integers? [Hint: Think of everything you have heard in this class about squares, and argue that the equality cannot hold for those vey reasons, whose origin are simple con- siderations regarding the even and the odd, which have led to all the things about squares you have learned in class.]

Does the equation x² + y² +2²= 10¹0 +7 have a solution in integers? [Hint: Think of everything you have heard in this class about squares, and argue that the equality cannot hold for those vey reasons, whose origin are simple con- siderations regarding the even and the odd, which have led to all the things about squares you have learned in class.]

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Does the equation x² + y² +2²= 1010 +7 have a solution in integers? [Hint: Think of everything you have heard in this class about squares, and argue that the equality cannot hold for those vey reasons, whose origin are simple con- siderations regarding the even and the odd, which have led to all the things about squares you have learned in class.]
Transcribed Image Text:Does the equation x² + y² +2²= 1010 +7 have a solution in integers? [Hint: Think of everything you have heard in this class about squares, and argue that the equality cannot hold for those vey reasons, whose origin are simple con- siderations regarding the even and the odd, which have led to all the things about squares you have learned in class.]
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