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  2. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    For example, taking the statement x + 1 = 0, if x is substituted with 1, this implies 1 + 1 = 2 = 0, which is false, which implies that if x + 1 = 0 then x cannot be 1. If x and y are integers, rationals, or real numbers, then xy = 0 implies x = 0 or y = 0. Consider abc = 0. Then, substituting a for x and bc for y, we learn a = 0 or bc = 0.

  3. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    It is also possible to take the variable y to be the unknown, and then the equation is solved by y = x – 1. Or x and y can both be treated as unknowns, and then there are many solutions to the equation; a symbolic solution is (x, y) = (a + 1, a), where the variable a may take any value. Instantiating a symbolic solution with specific numbers ...

  4. List of equations - Wikipedia

    en.wikipedia.org/wiki/List_of_equations

    List of equations in classical mechanics; Table of thermodynamic equations; List of equations in wave theory; List of electromagnetism equations; List of relativistic equations; List of equations in fluid mechanics; List of equations in gravitation; List of photonics equations; List of equations in quantum mechanics; List of equations in ...

  5. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    To prove the preceding formulas, one can use Vieta's formulas to express everything as polynomials in r 1, r 2, r 3, and a. The proof then results in the verification of the equality of two polynomials.

  6. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.

  7. File:ReasonableBasicAlgebra.pdf - Wikipedia

    en.wikipedia.org/.../File:ReasonableBasicAlgebra.pdf

    You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. ... 1=A Basic Algebra text based on common sense ...

  8. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    In mathematics, a basic algebraic operation is any one of the common operations of elementary algebra, which include addition, subtraction, multiplication, division, raising to a whole number power, and taking roots (fractional power). [1] These operations may be performed on numbers, in which case they are often called arithmetic operations.

  9. Theory of equations - Wikipedia

    en.wikipedia.org/wiki/Theory_of_equations

    In algebra, the theory of equations is the study of algebraic equations (also called "polynomial equations"), which are equations defined by a polynomial.The main problem of the theory of equations was to know when an algebraic equation has an algebraic solution.

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