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  2. Algebraic equation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_equation

    Algebraic equation. In mathematics, an algebraic equation or polynomial equation is an equation of the form , where P is a polynomial with coefficients in some field, often the field of the rational numbers. For example, is an algebraic equation with integer coefficients and. is a multivariate polynomial equation over the rationals.

  3. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    An algebraic equation or polynomial equation is an equation in which both sides are polynomials (see also system of polynomial equations ). These are further classified by degree :

  4. System of linear equations - Wikipedia

    en.wikipedia.org/wiki/System_of_linear_equations

    In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. [1] [2] For example, is a system of three equations in the three variables x, y, z. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously ...

  5. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    A solution of an equation is often called a root of the equation, particularly but not only for polynomial equations. The set of all solutions of an equation is its solution set . An equation may be solved either numerically or symbolically. Solving an equation numerically means that only numbers are admitted as solutions.

  6. 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 solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation.

  7. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    The phrase "linear equation" takes its origin in this correspondence between lines and equations: a linear equation in two variables is an equation whose solutions form a line. If b ≠ 0, the line is the graph of the function of x that has been defined in the preceding section. If b = 0, the line is a vertical line (that is a line parallel to ...

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