A mathematical equation is an expression containing two mathematical objects connected by an equals sign (=) . The equals sign says that both sides are exactly equal, or of the same value. An equation can be as simple as x=0, 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
Types of equationsEdit
- An algebraic equation is an equation in which both sides are polynomials. These are further classified by degree:
- 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:
- "Compendium of Mathematical Symbols". Math Vault. 2020-03-01. Retrieved 2020-09-01.
- "Equations and Formulas". www.mathsisfun.com. Retrieved 2020-09-01.
- "A statement of equality between two expressions. Equations are of two types, identities and conditional equations (or usually simply "equations")". « Equation », in Mathematics Dictionary, Glenn James et Robert C. James (éd.), Van Nostrand, 1968, 3 ed. 1st ed. 1948, p. 131.
- Une équation est une égalité entre deux expressions mathématiques, donc une formule de la forme A = B, où les deux membres A et B de l'équation sont des expressions où figurent une ou plusieurs variables, représentées par des lettres. ÉQUATION, mathématique - Encyclopædia Universalis