1) Draw an oriented horizontal segment AB of length a

2) At the end of a

3) At the end of a

The right-angle turn at the end of each segment is supposed to be positive, so that positive magnitudes are directed to the left of the previous segment.

4) The roots of the equation a

5) Each such intersection X

x

The proof follows by observing that.

a

Thus setting x = -tan(fi) we get.

(a

a

The method consists from a construction of a polygon P

The roots result by inscribing in P

1) P

2) P

If such a construction of P

An example and some further discussion is conducted in GraphicalSolutionCubic.html which handles the case of cubic equations.

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