On Wolfram|Alpha Quadratic Equation Cite this as:įrom MathWorld-A Wolfram Web Resource. "The Quadratic Function and Its Reciprocal." Ch. 16 in AnĪtlas of Functions. Cambridge, England:Ĭambridge University Press, pp. 178-180, 1992. Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. "Quadratic and Cubic Equations." §5.6 in Numerical Oxford,Įngland: Oxford University Press, pp. 91-92, 1996. Is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. "Quadratic Equations."Īnd Polynomial Inequalities. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. Viète was among the first to replace geometric methods of solution with analytic ones, although he apparently did not grasp the idea of a general quadratic equation (Smith 1953, pp. 449-450).Īn alternate form of the quadratic equation is given by dividing (◇) through by : How to solve a quadratic equation by factoring Put the quadratic expression on one side of the equals sign, with zero on the other side. The Persian mathematiciansĪl-Khwārizmī (ca. 1025) gave the positive root of the quadratic formula, as statedīy Bhāskara (ca. 850) had substantially the modern rule for the positive root of a quadratic. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Explore math with our beautiful, free online graphing calculator. Of them (Smith 1951, p. 159 Smith 1953, pp. 444-445). Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Of the quadratic equations with both solutions (Smith 1951, p. 159 Smithġ953, p. 444), while Brahmagupta (ca. (475 or 476-550) gave a rule for the sum of a geometric series that shows knowledge The method of solution (Smith 1953, p. 444). Solutions of the equation, but even should this be the case, there is no record of It is possible that certain altar constructions dating from ca. 210-290) solved the quadratic equation, but giving only one root, even whenīoth roots were positive (Smith 1951, p. 134).Ī number of Indian mathematicians gave rules equivalent to the quadratic formula. To solve a quadratic equation by factoring, Put all terms on one side of the equal sign, leaving zero on the other. There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square. In his work Arithmetica, the Greek mathematician Diophantus A quadratic equation is an equation that could be written as ax 2 + bx + c 0 when a 0. The Greeks were able to solve the quadratic equation by geometric methods, and Euclid's (ca.
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