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Solve in mathematica11/21/2023 ![]() ![]() 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. Get Started Integrals Compute integrals with Integrate: In 1: Out 1 Or type ESC intt ESC for a fillable mathematical expression: (For more information on fillable expressions, see Mathematical Typesetting. Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. "Quadratic and Cubic Equations." §5.6 in Numerical Draw, Scan, Solve, and Learn Solve long equations, draw in landscape Get step-by-step explanations. 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 : The Persian mathematiciansĪl-Khwārizmī (ca. ![]() I just copied the method from the 'Solve' help page in Mathematica. 1025) gave the positive root of the quadratic formula, as statedīy Bhāskara (ca. I am trying to plot a solution to a Solve result, ie I have a function f(x,y) and I want to plot yy(x) for when f(x,y) 0.06366. 850) had substantially the modern rule for the positive root of a quadratic. 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 It's a good idea to begin user symbols with lower case, so they don't override Mathematica definitions. You can use the Rule by a Replace, for which the shortcut is /. The method of solution (Smith 1953, p. 444). Solve is giving you a Rule for T, which is much more polite than setting the variable T to some value. 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. In his work Arithmetica, the Greek mathematician Diophantus ![]() The Greeks were able to solve the quadratic equation by geometric methods, and Euclid's (ca. ![]()
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