📏 Quadratic Equation Solver
Solve quadratic equations and find roots automatically.
What is a Quadratic Equation Solver?
Solve quadratic equations of the form ax² + bx + c = 0 using the quadratic formula.
x = [-b ± √(b² - 4ac)] / 2a📝 In-Depth Guide: Mastering Quadratic Equation Solver
Quadratic equations are essential in physics, engineering, and economics. They describe the path of a projectile, the shape of a satellite dish, and the point where a business breaks even.
The Discriminant (D)
Our solver calculates the discriminant (b² - 4ac). This number tells you how many solutions exist. If D > 0, there are two real roots. If D = 0, there is exactly one. If D < 0, the roots are complex (imaginary).
Example
📌 Example Calculation
x² - 5x + 6 = 0 -> x = 2, 3
Frequently Asked Questions
The calculator applies the formula and assumptions explained on this page to the values you enter. Solve quadratic equations and find roots automatically. Use our free quadratic equation solver online — instant results, no sign-up.
The arithmetic follows the displayed method, but accuracy depends on your inputs, units, assumptions, and rounding. Confirm important decisions with an authoritative source or qualified professional.
No. The calculation runs in your browser and does not require an account. Avoid sharing a prefilled result link if its inputs are sensitive.