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To show that the equation

Published online by Cambridge University Press:  31 October 2008

H. Spencer Jones
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has three real roots.—Let x1 be any one root. Then ξ, η, ζ can be chosen uniquely to satisfy simultaneously the three equations

If x1 is complex, so also will be ξ, η, ζ. Let their conjugate complexes be , so that

; etc.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 11 , October 1912 , pp. 133 - 134
Copyright
Copyright © Edinburgh Mathematical Society 1912