Võrrandis

Võrrand on Estonian term for an equation, a statement that asserts the equality of two expressions. Võrrandis is the inessive form of võrrand, meaning “in the equation,” and is used to indicate location or context within a mathematical expression.

In mathematics, a võrrand expresses that two sides are equal for certain values of the variables it contains. A solution is a set of values that makes the equality true. Equations can be classified by the kinds of expressions they involve, such as linear, quadratic, polynomial, rational, exponential and logarithmic equations, as well as differential equations and systems of equations.

Solving a võrrand involves manipulating the equation to isolate the unknowns. Common methods include factoring, substitution, elimination, and applying formulas. When an exact solution cannot be obtained analytically, numerical methods such as iterative approaches or Newton’s method may be used.

Usage in Estonian texts typically distinguishes between forms such as võrrand (the equation), võrrandi (genitive: of the equation), võrrandi lahendus (the solution of the equation), and võrrandis (in the equation). A typical example is: Võrrandis x + 2 = 5 on x = 3, illustrating how the equation context determines the value of the unknown.

Related concepts include lahendada võrrandit (to solve the equation) and süsteem võrranditest (a system of equations). The term võrrand is central to algebra and higher mathematics in Estonian, with võrrandis serving as a grammatical form used to describe content inside an equation.