Equation
From open-encyclopedia.com - the free encyclopedia.
- 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 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.
See also
- Linear equation
- Quadratic equation
- Inequality
- Solution point
- Differential equation
- Integral equation
- Functional equation
- Diophantine equation
- List of equations
External links
- Solve equations graphically and numerically: DeadLine OnLine. The freeware finds the real roots of an equation, evaluates functions and the first two derivatives fast and accurately, finds extrema of the function.
- Free Online Equation Interpreter and Plotter: Mathematical Equation Plotter. Plots 2D mathematical equations, computes integrals, and finds solutions.
cs:Rovnice da:Ligning de:Gleichung es:Ecuación eo:Ekvacio fr:Équation ko:방정식 it:Equazione he:משוואה nl:Vergelijking (wiskunde) ja:方程式 no:Likning pl:Równanie (matematyka) uk:Рівняння
