Solving quadratic equations with continued fractions

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High Quality Content by WIKIPEDIA articles! Students and teachers all over the world are familiar with the quadratic formula that can be derived by completing the square. That formula always gives the roots of the quadratic equation, but the solutions are often expressed in a form that involves a quadratic irrational number, which can only be evaluated as a fraction or as a decimal fraction by applying an additional root extraction algorithm. There is another way to solve the general quadratic equation. This old technique obtains an excellent rational approximation to one of the roots by manipulating the equation directly. The method works in many cases, and long ago it stimulated further development of the analytical theory of continued fractions.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130346898
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B150mm x T7mm
    • Jahr 2010
    • EAN 9786130346898
    • Format Kartonierter Einband
    • ISBN 978-613-0-34689-8
    • Titel Solving quadratic equations with continued fractions
    • Untertitel Mathematics, Equation, Quadratic Equation, Completing the Square, Quadratic Irrational, Methods of Computing Square Roots, Decimal, Fundamental Recurrence Formulas
    • Gewicht 189g
    • Herausgeber Betascript Publishers
    • Anzahl Seiten 116
    • Genre Mathematik

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