An alternative quadratic formula

  • Norbert HungerbühlerEmail author
Mathematik in der Lehre


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.


Quadratic equation Quadratic formula 

Mathematics Subject Classification

01A99 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 [12] of Mattheissen. The author is also grateful for the helpful remarks and hints of the referee.


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Copyright information

© Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsETH ZürichZürichSwitzerland

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