二次方程式の解の公式
出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2023/04/26 15:01 UTC 版)
二次方程式の解の公式（にじほうていしきのかいのこうしき）とは、未知数が一つの二次方程式の解を、式の係数を代入することにより求めることができる公式である。
- ^ Rich, Barnett; Schmidt, Philip (2004), Schaum's Outline of Theory and Problems of Elementary Algebra, The McGraw–Hill Companies, ISBN 0-07-141083-X
- ^ Li, Xuhui (2007), An Investigation of Secondary School Algebra Teachers' Mathematical Knowledge for Teaching Algebraic Equation Solving, ProQuest, "The quadratic formula is the most general method for solving quadratic equations and is derived from another general method: completing the square."
- ^ Rockswold, Gary (2002), College algebra and trigonometry and precalculus, Addison Wesley
- ^ Beckenbach, Edwin F.; Drooyan, Irving; Grady, Michael D. (1986), Modern college algebra and trigonometry, Wadsworth Pub.
- ^ Sterling, Mary Jane (2010), Algebra I For Dummies, Wiley Publishing, ISBN 978-0-470-55964-2
- ^ Kahan, Willian (2004-11-20), On the Cost of Floating-Point Computation Without Extra-Precise Arithmetic 2012年12月25日閲覧。
- ^ Quadratic Equation at ProofWiki
- ^ Irving, Ron (2013). Beyond the Quadratic Formula. MAA. ISBN 978-0-88385-783-0
- ^ Edwards, I. E. S.; Gadd, C. J.; Hammond, N. G. L. (1971). The Cambridge Ancient History Part 2 Early History of the Middle East. Cambridge University Press. ISBN 978-0-521-07791-0
- ^ a b Irving 2013, p. 39.
- ^ Aitken, Wayne. “A Chinese Classic: The Nine Chapters”. Mathematics Department, California State University. 2013年4月28日閲覧。
- ^ Smith, David Eugene (1958). History of Mathematics. Courier Dover Publications. ISBN 978-0-486-20430-7
- ^ Smith 1958, p. 134.
- ^ Bradley, Michael (2006), The Birth of Mathematics: Ancient Times to 1300, Infobase Publishing
- ^ Mackenzie, Dana (2012), The Universe in Zero Words: The Story of Mathematics as Told through Equations, Princeton University Press
- ^ Stillwell, John (2004). Mathematics and Its History (2nd ed.). Springer. ISBN 0-387-95336-1. "To the absolute number multiplied by four times the [coefficient of the] square, add the square of the [coefficient of the] middle term; the square root of the same, less the [coefficient of the] middle term, being divided by twice the [coefficient of the] square is the value."
- ^ Irving 2013, p. 42.
- ^ Struik, D. J.; Stevin, Simon (1958), The Principal Works of Simon Stevin, Mathematics, II-B, C. V. Swets & Zeitlinger
- ^ Heaton, Henry (1896), “A Method of Solving Quadratic Equations”, American Mathematical Monthly 3 (10): 236-237, doi:10.2307/2971099
[続きの解説]
「二次方程式の解の公式」の続きの解説一覧
- 1 二次方程式の解の公式とは
- 2 二次方程式の解の公式の概要
- 3 発展の歴史
- 4 参考文献
- 二次方程式の解の公式のページへのリンク
