Quadratic Formula
The Quadratic Formula is a mathematical equation used to find the solutions of a quadratic equation, which is typically in the form ax² + bx + c = 0. The formula is expressed as x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are coefficients from the equation. The symbol "±" indicates that there can be two possible solutions for x.
This formula is particularly useful because it provides a straightforward method to solve any quadratic equation, regardless of whether the solutions are real or complex. The term under the square root, b² - 4ac, is called the discriminant and helps determine the nature of the solutions: if it's positive, there are two real solutions; if zero, one real solution; and if negative, two complex solutions.