📏 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