Equation
In mathematics, an equation is a statement that asserts the equality of two expressions
In mathematics, an equation is a statement that asserts the equality of two expressions. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the value(s) of the variables that make the equation true.
Equations can be represented in various forms, such as:
1. Linear equation: An equation where the highest power of the variable is 1. It can be written in the form “ax + b = 0”, where “a” and “b” are constants.
Example: 3x + 5 = 11
2. Quadratic equation: An equation where the highest power of the variable is 2. It can be written in the form “ax^2 + bx + c = 0”, where “a”, “b”, and “c” are constants.
Example: x^2 – 4x + 4 = 0
3. Polynomial equation: An equation involving a polynomial expression, which can have terms with different powers of the variable.
Example: 2x^3 + 5x^2 – 3x + 10 = 0
An equation is often solved by using algebraic techniques to isolate the variable on one side of the equation. This is accomplished by applying various operations, such as adding, subtracting, multiplying, or dividing both sides of the equation by the same value. The solutions to an equation are the values of the variable that make the equation true.
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