equation Definition
a statement that the values of two mathematical expressions are equal (indicated by the sign =).
Using equation: Examples
Take a moment to familiarize yourself with how "equation" can be used in various situations through the following examples!
Example
The equation 2x + 3y = 12 is a linear equation.
Example
The quadratic equation x² - 5x + 6 = 0 has two solutions.
Example
Einstein's famous equation E=mc² relates energy and mass.
Example
The equation of a straight line is y = mx + b.
equation Synonyms and Antonyms
Synonyms for equation
Phrases with equation
Example
We need to balance the equation before we can solve it.
an equation involving derivatives of a function or functions
Example
The heat equation is a well-known example of a differential equation.
an equation of the second degree, meaning it contains at least one squared variable
Example
The quadratic equation x² - 5x + 6 = 0 has two solutions.
Origins of equation
from Latin 'aequatio', meaning 'equalization'
Summary: equation in Brief
The term 'equation' [ɪˈkweɪʒən] refers to a statement that two mathematical expressions are equal. It is often represented by the symbol '=', and can be used to describe relationships between variables, such as in the quadratic equation x² - 5x + 6 = 0. Phrases like 'balance the equation' refer to ensuring both sides of the equation have the same value.
