Equation

Equation is a mathematical statement that asserts the equality of two expressions. In mathematics, an equation is a principle of equivalence holding for two mathematical expressions. Equations are used extensively in many fields, including physics, engineering, and economics.

Definition

An equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. Variables are also called unknowns and the values of the unknowns which satisfy the equality are called solutions of the equation.

Types of Equations

There are several types of equations, including:

• Linear Equation - An equation between two variables that produces a straight line when graphed.
• Quadratic Equation - An equation where the highest power of an unknown quantity is a square.
• Differential Equation - An equation involving derivatives of a function or functions.
• Algebraic Equation - An equation that only contains polynomials.
• Transcendental Equation - An equation involving a transcendental function of its variables.

Solving Equations

The process of solving an equation involves manipulating the expressions on either side of the "=" sign so that the unknown is isolated on one side of the equation. This can involve a range of mathematical operations, including addition, subtraction, multiplication, and division.

Applications

Equations are fundamental to many fields of science, including physics, engineering, and economics. They are used to model and predict a wide range of phenomena.

See Also

• Mathematics
• Algebra
• Calculus

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