Show that in any field F, the equation ² = two solutions. Can you think of a field in which the equation x² = 1 can have at most 1 has exactly one solution?
Show that in any field F, the equation ² = two solutions. Can you think of a field in which the equation x² = 1 can have at most 1 has exactly one solution?
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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Transcribed Image Text:Show that in any field F, the equation ²
=
two solutions. Can you think of a field in which the equation
x²
=
1 can have at most
1 has exactly one solution?
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