A quadratic formula is a mathematical equation used to find the solutions of a quadratic equation, which is typically in the form of ax² + bx + c = 0. Here, a, b, and c are constants, and x represents the variable. The solutions can be found using the formula: x = (-b ± √(b² - 4ac)) / 2a. This formula helps determine the values of x where the equation equals zero. Quadratic equations can have two, one, or no real solutions, depending on the value of the discriminant, b² - 4ac. If the discriminant is positive, there are two distinct solutions; if it is zero, there is one solution; and if it is negative, there are no real solutions. Quadratic formulas are widely used in various fields, including physics, engineering, and finance, to model different phenomena.