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A Graphic Solution of the Equation

Published online by Cambridge University Press:  03 November 2016

Extract

znpz + q = 0. .....(1)

The usual method of solution by means of a fixed curve and varying line is to draw the curve y = zn, and find where it is cut by the line y=pzq.

The following method is quicker, and has some aspects of theoretic interest to recommend it. It consists in taking p, q as coordinates, and in drawing the curve given by the parametric equation

2

which is the condition that the given equation (1) shall have equal roots.

Type
Research Article
Copyright
Copyright © Mathematical Association 1913

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