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Methods of Design-Oriented Analysis: The Quadratic Equation Revisited

Middlebrook, R. D. (1992) Methods of Design-Oriented Analysis: The Quadratic Equation Revisited. In: Twenty-Second Annual conference Frontiers in Education. Proceedings. IEEE , Piscataway, NJ, pp. 95-102. ISBN 0-7803-0832-8.

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The conventional formula for quadratic roots suffers from two defects: it is High Entropy, and it is computationally inaccurate when two real roots are widely separated. An improved formula is suggested that overcomes both defects. Both roots are expressed in terms of a single parameter F that contains the radical sign and is a unique function of the single parameter Q that determines the nature of the roots. Both roots are computed in terms of F with the same computational accuracy, and the Low Entropy format exposes the useful design-oriented result that, for well-separated real roots, F approaches unity so that the radical disappears and both roots reduce to simple ratios of the original quadratic coefficients.

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Additional Information:© 1992 IEEE. Session 12B5.
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