ekvacija

An equation is a mathematical statement that asserts the equality of two expressions, which can be numbers, variables, or combinations thereof. Equations are fundamental to algebra and are used to model and solve problems in various fields, including physics, engineering, and economics. They typically consist of an equals sign (=) separating two expressions, known as the left-hand side (LHS) and the right-hand side (RHS). For example, in the equation 2x + 3 = 7, the LHS is 2x + 3, and the RHS is 7.

Equations can be classified into several types based on the number of variables and their degrees. A linear equation is one where the highest power of the variable is one, such as 2x + 3 = 7. A quadratic equation has a highest power of two, like x^2 - 4x + 4 = 0. Equations can also be classified as algebraic or transcendental, depending on whether they involve only algebraic functions or transcendental functions, respectively.

Solving an equation involves finding the values of the variables that make the equation true. This can be done through various methods, such as substitution, elimination, factoring, or using formulas. In some cases, equations may have no solutions, one solution, or infinitely many solutions. The study of equations and their solutions is a central topic in mathematics and has numerous applications in science and engineering.