Equation

Algebraic Equations

An equation is a mathematical statement that asserts the equality of two expressions, typically separated by an equals sign (=). Equations represent relationships between variables and are fundamental in algebra for solving problems and finding unknown values.

Expressions: Equations involve mathematical expressions on both sides of the equals sign. These expressions can contain variables, constants, coefficients, and various mathematical operations like addition, subtraction, multiplication, division, and exponentiation.
Equals Sign: The equals sign (=) indicates that the expressions on both sides of the equation are equivalent. It implies that the quantity on the left side is equal to the quantity on the right side.
Variables: Equations often involve variables, which are placeholders for unknown values. Solving the equation typically means finding the values of the variables that satisfy the equality.

Equation Examples

Linear Equation

$2x+3=7$ , In this linear equation, the expression $2x+3$ is equal to 7. Solving for $x$ would reveal the value of $x$ that makes the equation true.

Quadratic Equation

$x^2-4x+4=0$ , This quadratic equation can be factored as $(x-2)^2=0$ , revealing that $x=2$ is a repeated root.

Exponential Equation

$2^x=8$ , Solving this exponential equation involves finding the value of $x$ that satisfies the equation $2^x=8$ which is $x=3$ .