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Equation

From Academic Kids

This article is about equations in mathematics. For equations in chemistry, see chemical equation.

In mathematics, one often (not quite always) distinguishes between an identity, which is an assertion that two expressions are equal regardless of the values of any variables that occur within them, and an equation, which may be true for only some (or none) of the values of any such variables. In equations, the values of the variables for which the equation is true are called solutions.

For example

<math> (x+1)^2 = x^2 + 2x + 1 <math>

is an identity, while

<math> x^2 - 5x + 6 = 0 <math>

is an equation, whose solutions are x = 2 or x = 3.

Letters from the beginning of the alphabet like a, b, c, ... are often considered constants in the context of the discussion at hand, while letters from end of the alphabet, like x, y, z, are usually considered variables. Thus to solve the equation, one must find what values fulfill the condition stated as an equation.

See also

External links

cs:Rovnice da:Ligning de:Gleichung es:Ecuacin eo:Ekvacio fr:quation he:משוואה ko:방정식 io:Equaciono it:Equazione nl:Vergelijking (wiskunde) ja:方程式 no:Likning pl:Rwnanie (matematyka) pt:Equao ro:Ecuaţie ru:Уравнение sk:Rovnica (matematika) sv:Ekvation vi:Phương trình uk:Рівняння zh:方程

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