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  2. Equating coefficients - Wikipedia

    en.wikipedia.org/wiki/Equating_coefficients

    In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term.

  3. 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.

  4. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    The first use of an equals sign, equivalent to 14x + 15 = 71 in modern notation. From The Whetstone of Witte by Robert Recorde of Wales (1557). [1]In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.

  5. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    The simplified equation is not entirely equivalent to the original. For when we substitute y = 0 and z = 0 in the last equation, both sides simplify to 0, so we get 0 = 0, a mathematical truth. But the same substitution applied to the original equation results in x/6 + 0/0 = 1, which is mathematically meaningless.

  6. 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 ...

  7. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Algebraic expressions may be evaluated and simplified, based on the basic properties of arithmetic operations (addition, subtraction, multiplication, division and exponentiation). For example, For example,

  8. Doctors Say This Nighttime Behavior Can Be A Sign Of Dementia

    www.aol.com/doctors-nighttime-behavior-sign...

    There are plenty of reason you might feel off in the late afternoon and evening. Maybe you’re mentally wiped after socializing all day, or your brain is fried from hours of work.

  9. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include: Simplification of algebraic expressions, in computer algebra; Simplification of boolean expressions i.e. logic optimization