Hostname: page-component-5c6d5d7d68-ckgrl Total loading time: 0 Render date: 2024-08-17T23:14:14.326Z Has data issue: false hasContentIssue false

To show that the equation

Published online by Cambridge University Press:  31 October 2008

Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Copyright
Copyright © Edinburgh Mathematical Society 1912