An equation in mathematics is defined as an established equality between two expressions, in which there can be one or more unknowns that must be solved.
The equations are used to solve different mathematical, geometric, chemical, physical or any other problems that have applications both in everyday life and in the research and development of scientific projects.
Equations may have one or more unknowns, and it may also be the case that they have no solution or that more than one solution is possible.
Parts of an equation
The equations are made up of different elements. Let’s look at each of them.
Each equation has two members , and these are separated by using the equal sign (=).
Each member is made up of terms , which correspond to each of the monomials.
The values of each monomial of the equation can be of different tenor. For example:
The unknowns , that is, the values you want to find, are represented by letters. Let’s see an example of an equation.
Algebraic equation example
Types of equations
There are different types of equations according to their function. Let’s know what they are.
1. Algebraic equations
The algebraic equations, which are the fundamental ones, are classified or subdivided into the different types described below.
to. First-degree equations or linear equations
They are those that involve one or more variables to the first power and do not present a product between variables.
For example : ax + b = 0
See also: First-degree equation
b. Quadratic equations or quadratic equations
In this type of equation, the unknown term is squared.
For example : ax 2 + bx + c = 0
c. Third-degree equations or cubic equations
In this type of equation, the unknown term is cubed.
For example : ax 3 + bx 2 + cx + d = 0
d. 4th degree equations
Those in which a, b, c and d are numbers that are part of a body that can be ℝ or ℂ.
For example : ax 4 + bx 3 + cx 2 + dx + e = 0
2. Transcendent equations
They are a type of equation that cannot be solved only by algebraic operations, that is, when it includes at least one non-algebraic function.
3. Functional equations
They are those whose unknown is a function of a variable.
4. Integral equations
The one in which the unknown function is found in the integrand.
5. Differential equations
Those that relate a function to its derivatives.