Department
Math
Degree Name
Master of Science (MS)
Abstract
The solving of equations of the third and fourth order is often a very complex problem. It is helpful to know as much about the character of the roots as possible before a solution is attempted. Therefore, the problem of this thesis is to derive a set of equations involving the coefficients of the third and fourth order equations that can be used as a test to determine if the equation has any multiple roots. Equations that have real coefficients are the most common type. The problem would become much more complicated if equations which have complex coefficients were included. Therefore, the problem of this thesis is limited to the study of conditions for multiple roots of cubic and quartic equations having real coefficients.
Keywords
Sylvester's determinant, Linear equation, Quadratic equations, Mathematics, Cubic Equations, Quartic Equations
Advisor
Dr. Emmet C. Stopher
Date of Award
Summer 1953
Document Type
Thesis - campus only access
Recommended Citation
Dryden, Laurence, "The Conditions For Multiple Roots In Cubic and Quartic Equations" (1953). Master's Theses. 508.
DOI: 10.58809/YYGK2972
Available at:
https://scholars.fhsu.edu/theses/508
Rights
© The Author(s)
Comments
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