Cauchy’s Cours d’analyse pp 217-240 | Cite as

# On real or imaginary roots of algebraic equations for which the left-hand side is a rational and integer function of one variable. The solution of equations of this kind by algebra or trigonometry.

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where *n* represents the degree of this equation and *a* _{0}, *a* _{1}, *a* _{2}, …, *a* _{n−1}, an, are constant coefficients, real or imaginary. A root of this equation is any expression,real or imaginary, that when substituted in place of the unknown value *x*, makes the left-hand side equal to zero.

## Keywords

Algebraic Equation Real Root Linear Factor Imaginary Root Fourth Degree
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© Springer Science+Business Media, LLC 2009