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Algebra- 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
-
is an identity, while
-
is an equation, whose solutions are x = 2 and 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 express those values of the variables that are solutions in terms of whatever constants may be included.
1 See also
- Linear equation
- Quadratic equation
- Inequality
- Solution point
- Differential equation
- Integral equation
- Functional equationIn mathematics or its applications, a functional equation is an equation in terms of independent variables, and also unknown functions, which are to be solved for. Many properties of functions can be determined by studying the types of functional equation
- Diophantine equationIn mathematics, a Diophantine equation is an equation between two polynomials with integer coefficients with any number of unknowns. A Diophantine problem is given as a Diophantine equation, whose solutions are the possible assignments of integers for the
- List of equationsThis is a list of equations by Wikipedia page. See also list of equations in classical mechanics, list of relativistic equations, equation solving, theory of equations. Named equations Arrhenius equation Bernoulli's equation Black-Scholes equation Cauchy-
2 External links
- Free Online Equation Interpreter and Plotter: Mathematical Equation Plotter. Plots 2D mathematical equations, computes integrals, and finds solutions.
