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Quadratic equation. In mathematics, a quadratic equation (from Latin quadratus ' square ') is an equation that can be rearranged in standard form as [1] where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.)
Quadratic formula. The roots of the quadratic function y = 1 2 x2 − 3x + 5 2 are the places where the graph intersects the x -axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.
Quadratic function. In mathematics, a quadratic function of a single variable is a function of the form [1] where is its variable, and , , and are coefficients. The expression , especially when treated as an object in itself rather than as a function, is a quadratic polynomial, a polynomial of degree two.
Animation depicting the process of completing the square. (Details, animated GIF version) In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form to the form for some values of and . [1] In terms of a new quantity , this expression is a quadratic ...
[7]: 14 Because al-Khwarizmi was the first person to treat algebra as an independent discipline and introduced the methods of "reduction" and "balancing" (the transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation), [8] he has been described as the father [9 ...
Timeline of algebra. The following is a timeline of key developments of algebra: Year. Event. c. 1800 BC. An Old Babylonian tablet (Strasbourg 363) seeks the solution of a quadratic equation. [1] c. 1800 BC. The Plimpton 322 tablet gives a table of Pythagorean triples in Babylonian Cuneiform script.
Delft tower experiment. Intermediate value theorem. Stevin's law. Simon Stevin (Dutch: [ˈsimɔn steːˈvɪn]; 1548–1620), sometimes called Stevinus, was a Flemish mathematician, scientist and music theorist. [1] He made various contributions in many areas of science and engineering, both theoretical and practical.
which is obtained by subtracting the second equation from the first one multiplied by n. This restricts the possible terms in the discriminant. For the general quadratic polynomial, the discriminant b 2 − 4 a c {\displaystyle b^{2}-4ac} is a homogeneous polynomial of degree 2 which has only two there are only two terms, while the general ...