Quadratic Equation Solver

Find real and complex roots of quadratic equations instantly

Enter YOur Value

Example:

For equation x² - 3x + 2 = 0, we have:
a = 1, b = -3, c = 2
Roots → x₁ = 2, x₂ = 1

Frequently Asked Questions (FAQs)

A quadratic equation is a polynomial equation of degree 2, written as ax² + bx + c = 0, where a ≠ 0.

Quadratic equations can be solved using the quadratic formula: x = (-b ± √(b² - 4ac)) ÷ 2a.

If b² - 4ac > 0, the equation has two real roots. If it equals 0, there is one real root. If less than 0, the roots are complex.

Quadratic equations are used in physics, engineering, finance, projectile motion, optimization problems, and more.

The discriminant is b² - 4ac. It helps determine the type of roots the quadratic equation has.