An alternative quadratic formula
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One would usually expect that a subject such as the quadratic equation which is known since Babylonian times would not offer any interesting new aspect today. It is, however, a feature of mathematics that one can always gain new insights by looking at an old topic from a new angle. A look back at the history reveals that the quadratic equation has indeed been repeatedly investigated in all epochs and cultures. The solution formulas for this equation are correspondingly numerous, although most of them are only little known. It may come as a surprise that here a further, particularly symmetric solution formula can be added to the catalogue of quadratic formulae.
KeywordsQuadratic equation Quadratic formula
Mathematics Subject Classification01A99 97H30 51N99 12D99
The author would like to thank Hans Peter Dreyer for pointing out to him the nice exercise of the falling stone, Jacques Gélinas for the remark about the numerical stability, and Klaus Volkert for pointing out the wonderful book  of Mattheissen. The author is also grateful for the helpful remarks and hints of the referee.
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