Simple Quadratic Formula Calculator. Just use it for Algebra homework =D How does it work? The quadratic formula solves for the roots (or x-intercepts) of a quadratic equation in the form ax² + bx + c = 0, where a, b, and c are coefficients, by using the formula: x = (-b ± √(b² - 4ac)) / 2a. Here's a breakdown of how it works: Standard Form: Ensure the quadratic equation is in the standard form: ax² + bx + c = 0. Identify Coefficients: Identify the values of 'a', 'b', and 'c' from the equation. Apply the Formula: Substitute the values of 'a', 'b', and 'c' into the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a. Simplify: Simplify the expression to find the two possible solutions for 'x'. The "+" sign gives one solution, and the "-" sign gives the other. The Discriminant: The part under the square root (b² - 4ac) is called the discriminant. It tells you about the nature of the roots: If (b² - 4ac) > 0, there are two distinct real roots. If (b² - 4ac) = 0, there is one real root (a repeated root). If (b² - 4ac) < 0, there are two complex (non-real) roots. But, my calculator doesn't use the discriminant values =)