Equation
Table of Contents
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.
Related Links
Arithmetic Mean
Binomial
Cross-Multiplication
Inequality