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  2. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    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. When seeking a solution, one or more variables are designated as unknowns. A solution is an assignment of ...

  3. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    In algebra, a cubic equation in one variable is an equation of the form + + + = in which a is not zero. The ... For solving the cubic equation x 3 + m 2 x = n where n ...

  4. Variable (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Variable_(mathematics)

    To solve this problem, Karl Weierstrass introduced a new formalism consisting of replacing the intuitive notion of limit by a formal definition. The older notion of limit was "when the variable x varies and tends toward a, then f(x) tends toward L", without any accurate definition of "tends". Weierstrass replaced this sentence by the formula

  5. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    To solve this kind of equation, the technique is add, subtract, multiply, or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated, the other side of the equation is the value of the variable. [ 37 ]

  6. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    The n-tuples that are solutions of a linear equation in n variables are the Cartesian coordinates of the points of an (n − 1)-dimensional hyperplane in an n-dimensional Euclidean space (or affine space if the coefficients are complex numbers or belong to any field). In the case of three variables, this hyperplane is a plane.

  7. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    An identity is an equation that is true for all possible values of the variable(s) it contains. Many identities are known in algebra and calculus. In the process of solving an equation, an identity is often used to simplify an equation, making it more easily solvable. In algebra, an example of an identity is the difference of two squares:

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