Equation
mathematical statement that asserts the equality of two expressions
A mathematical equation is an expression containing two mathematical objects connected by an equals sign (=) .[1][2][3][4] The equals sign says that both sides are exactly equal, or of the same value. An equation can be as simple as , or as complex as or harder.
There are two kinds of mathematical equations:
- The kind of equation that is either true or false; these are also called identities. For example:
- The kind of equation that is only true for certain values of the variable(s). The equation is only true if the variable(s) have that value. For example:
The second kind is often used to solve problems in which finding the value of some variables is involved. For example, if
- ,
The second kind of equation is used in algebra. For example, to solve the equation for , one would follow an algebraic rule to find that .
Types of equations
Equations can be classified by the types of operations and quantities involved. For example:
- An algebraic equation is an equation in which both sides are polynomials. These are further classified by degree:
- Linear equation for degree one
- Quadratic equation for degree two
- Cubic equation for degree three
- Quartic equation for degree four
- Quintic equation for degree five
- A Diophantine equation is an equation where the unknowns are required to be integers
- A differential equation is a functional equation involving derivatives of the unknown functions, which include:
Related pages
References
🔥 Top keywords: Main PageSpecial:Search0Slash (punctuation)BlackSpecial:RecentChanges4 (number)DavidSOLID (object-oriented design)Wikipedia:AboutFile:Sexual intercourse with internal ejaculation.webmHelp:ContentsHelp:IntroductionLisa Sparxxx2023 UEFA Champions League FinalColour24-hour clockAdolf Hitler UunonaBismillahir Rahmanir Raheem6 (number)T. N. SeshanFile:ASCII-Table-wide.svg20 (number)Poor Things (movie)United StatesCristiano RonaldoList of people who have walked on the MoonAli Malikov50 (number)17 (number)The Valley (2024 TV series)GrassList of mathematical symbolsList of U.S. states and territories by time zone8 (number)List of countries by areaWikipedia:Simple talkList of largest Hindu templesRama