Equation
i-KWAY-zhun
/ɪˈkweɪʒən/
A statement that the values of two mathematical expressions are equal (indicated by the sign =).
An equation establishes a balance or equivalence between two sides. It can be used to define relationships, solve for unknowns, or model real-world situations.
The story behind the word. The word 'equation' comes from the Latin 'aequatio,' meaning 'an equalizing,' which itself derives from 'aequare,' meaning 'to make equal,' and 'aequus,' meaning 'equal.' This origin perfectly captures the essence of an equation: a mathematical statement that asserts the equality of two expressions. It's all about finding balance and equivalence.
Word relationships
- formula: A formula is a specific type of equation that expresses a general rule or relationship, often used to calculate a value.
Commonly confused with
- Expression: An expression is a combination of numbers, variables, and operations (e.g., 2x + 5), while an equation states that two expressions are equal (e.g., 2x + 5 = 11).
Word family
- equate (verb): To consider or state that two things are equal or equivalent.
- equator (noun): An imaginary line around the Earth, equidistant from the poles, dividing the Earth into northern and southern hemispheres (related to 'equal').
Collocations
- solve an equation
- linear equation
- quadratic equation
- differential equation
Idioms & expressions
- the equation changes
Example sentences
- "The equation 2x + 5 = 11 can be solved to find the value of x." Explaining a basic mathematical concept.
- "Einstein's famous equation E=mc² describes the equivalence of mass and energy." Referring to its application in physics.
- "The engineers spent weeks trying to derive the correct equation to model the fluid dynamics." Discussing a complex problem.
Memory hook
An 'EQUATION' makes things 'EQUAL' on both sides. Equal-sign
When not to use
Do not use 'equation' to mean a general problem or situation unless you are specifically referring to a mathematical statement of equality.
Fun facts
- The equals sign (=) was invented by Welsh mathematician Robert Recorde in 1557, who stated that 'no two things can be more equal' than two parallel lines.
- Equations are the backbone of all scientific and engineering disciplines, allowing us to predict and understand phenomena.
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