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The following method will solve an algebraic equation of any degree, giving all the roots, real and imaginary, expressed in infinite series. The method is simple, complete, and unfailing. It can be applied by the secondary school teacher far more readily than the methods in ordinary use. Besides, no method adapted to secondary school work has heretofore been known that would give the imaginary roots of higher equations. A peculiarity of the method is that the amount of labor depends, not on thedoi:10.1111/j.1949-8594.1910.tb03227.x fatcat:vzodm2xqarexzadb3aasghka5e