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  2. Algebraic equation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_equation

    The algebraic equations are the basis of a number of areas of modern mathematics: Algebraic number theory is the study of (univariate) algebraic equations over the rationals (that is, with rational coefficients). Galois theory was introduced by Évariste Galois to specify criteria for deciding if an algebraic equation may be solved in terms of ...

  3. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    An example of using Newton–Raphson method to solve numerically the equation f(x) = 0. In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign.

  4. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    In the mid-19th century, the scope of algebra broadened beyond a theory of equations to cover diverse types of algebraic operations and structures. Algebra is relevant to many branches of mathematics, such as geometry, topology, number theory, and calculus, and other fields of inquiry, like logic and the empirical sciences.

  5. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    Multiplying the equation by x/m 2 and regrouping the terms gives = (). The left-hand side is the value of y 2 on the parabola. The equation of the circle being y 2 + x(x − ⁠ n / m 2 ⁠) = 0, the right hand side is the value of y 2 on the circle.

  6. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation. Other ways of solving quadratic equations, such as completing the square , yield the same solutions.

  7. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    An algebraic equation is univariate if it involves only one variable. On the other hand, a polynomial equation may involve several variables, in which case it is called multivariate (multiple variables, x, y, z, etc.). For example, + = is a univariate algebraic (polynomial) equation with integer coefficients and

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