Enter the Coefficients of Your Quadratic Equation
Use this calculator to solve any quadratic equation in the standard form ax² + bx + c = 0. Just input the values of a, b, and c below:
How the Quadratic Formula Works
The formula x = (-b ± √(b² - 4ac)) / 2a is used to find the roots (solutions) of a quadratic equation. Depending on the value of the discriminant (b² - 4ac), you may get two real roots, one real root, or two complex roots.
Common Use Cases
- Algebra Homework: Easily check your answers to quadratic problems.
- Engineering & Physics: Solve quadratic equations in motion, circuits, and more.
- Finance: Used in revenue/profit modeling and forecasting.
- Programming & Game Design: Apply physics equations or optimization logic.
Frequently Asked Questions
- What if the value of 'a' is 0?
- If a = 0, the equation is not quadratic and cannot be solved using the quadratic formula.
- Can this calculator solve equations with complex roots?
- Yes, if the discriminant is negative, the calculator returns complex roots in a + bi format.
- Does this work for decimals?
- Yes, you can input decimal or fractional values using the numeric input fields.