Quadratic Equation Solver

Solve ax² + bx + c = 0 instantly. Find roots using the quadratic formula with step-by-step discriminant analysis and vertex calculation.

Ready to Export

LaTeX & Result Actions

Base Module Template for algebra

Solution Methodology

Extract a, b, and c from the standard form equation.

Compute Δ = b² - 4ac to determine root characteristics.

Solve for x using the quadratic formula.

What is the quadratic formula?

The quadratic formula is x = (-b ± √(b² - 4ac)) / 2a.

What happens if the discriminant is negative?

If the discriminant (b² - 4ac) is negative, the equation has two complex (imaginary) roots.

Dynamic Educational Resource Slot