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  2. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    The methods for solving equations generally depend on the type of equation, both the kind of expressions in the equation and the kind of values that may be assumed by the unknowns. The variety in types of equations is large, and so are the corresponding methods. Only a few specific types are mentioned below.

  3. List of equations - Wikipedia

    en.wikipedia.org/wiki/List_of_equations

    Download as PDF; Printable version; ... This is a list of equations, by Wikipedia page under ... Equation solving; Theory of equations

  4. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    The use of variables to denote quantities allows general relationships between quantities to be formally and concisely expressed, and thus enables solving a broader scope of problems. Many quantitative relationships in science and mathematics are expressed as algebraic equations .

  5. Arithmetica - Wikipedia

    en.wikipedia.org/wiki/Arithmetica

    Equations in the book are presently called Diophantine equations. The method for solving these equations is known as Diophantine analysis. Most of the Arithmetica problems lead to quadratic equations. In Book 3, Diophantus solves problems of finding values which make two linear expressions simultaneously into squares or cubes. In book 4, he ...

  6. Horner's method - Wikipedia

    en.wikipedia.org/wiki/Horner's_method

    With a Supplement, Containing Two Other Methods of Solving Equations, Derived from the Same Principle (PDF). Richard Watts. Archived from the original (PDF) on 2014-01-06 Holdred's method is in the supplement following page numbered 45 (which is the 52nd page of the pdf version). Horner, William George (July 1819). "A new method of solving ...

  7. TK Solver - Wikipedia

    en.wikipedia.org/wiki/TK_Solver

    TK Solver has three ways of solving systems of equations. The "direct solver" solves a system algebraically by the principle of consecutive substitution. When multiple rules contain multiple unknowns, the program can trigger an iterative solver which uses the Newton–Raphson algorithm to successively approximate based on initial guesses for ...

  8. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    When there is only one variable, polynomial equations have the form P(x) = 0, where P is a polynomial, and linear equations have the form ax + b = 0, where a and b are parameters. To solve equations from either family, one uses algorithmic or geometric techniques that originate from linear algebra or mathematical analysis.

  9. Theory of equations - Wikipedia

    en.wikipedia.org/wiki/Theory_of_equations

    However devising efficient methods to solve these systems remains an active subject of research now called linear algebra. Finding the integer solutions of an equation or of a system of equations. These problems are now called Diophantine equations, which are considered a part of number theory (see also integer programming).

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