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zn − pz + 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=pz − q.
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.