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Abstract

It is known that there is no formula (involving radicals only) for the roots of a general equation of degree exceeding 4. The familiar form for the roots of the quadratic
$${x^2} + px + q = 0$$
is
$${x_ \pm } = - {\textstyle{1 \over 2}}p \pm \sqrt {\left( {{p^2}/4} \right) - q.} $$
The formulas for the case of cubics and quartics are given in algebra texts and the reader should try to use them, checking the results obtained from tables.

Keywords

Familiar Form Arithmetic Unit Desk Calculator Newton Formula Numerical Analyst 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag, Basel 1979

Authors and Affiliations

  • John Todd
    • 1
  1. 1.California Institute of TechnologyUSA

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