Equation
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- 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
- Linear equation
- Quadratic equation
- Cubic equation
- Biquadratic equation
- Inequality
- Solution point
- Differential equation
- Integral equation
- Functional equation
- Diophantine equation
- List of equations
External links
- Free Online Equation Interpreter and Plotter: Mathematical Equation Plotter (http://www.wessa.net/math.wasp). Plots 2D mathematical equations, computes integrals, and finds solutions.
- Solve 2D equations graphically and numerically: DeadLine (http://deadline.3x.ro). Free Windows software.
- Algebraic Equations and Systems of Algebraic Equations (http://eqworld.ipmnet.ru/en/solutions/ae.htm) at EqWorld: The World of Mathematical Equations.bn:সমীকরণ
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