Calculating machine solution of quadratic and cubic equations by the odd number method
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Eastlack has published a method for the solution of quadratic equations by means of a calculating machine. His process is extended here to the solution of cubic equations. In the ordinary manual operation of calculating machines, the use of the method of solving cubic equations presented here will not be found to be as convenient as the use of certain other methods, such as that of Newton. The method is described here, however, in the belief that it may find application in large scale, automatic computing machines (such as the IBM Sequence Controlled Calculator or the ENIAC) where a large number of operations is not objectionable, provided that the operations are repetitive and sufficiently simple. We limit our discussion to real roots. Eastlack's method of solving quadratic equations is first reviewed so that the extension of the method to cubic equations may be clearer.
The article of record as published may be found at http://dx.doi.org/10.2307/2002231
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