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Quadratic Equation Solver

Solve ax² + bx + c = 0. Shows discriminant, real or complex roots, and vertex of the parabola.

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About This Tool

The Quadratic Equation Solver finds the roots of any equation in the form ax² + bx + c = 0. It calculates the discriminant to determine whether the equation has two real roots, one repeated root, or two complex (imaginary) roots.

Quadratic equations appear throughout mathematics, physics, engineering, and economics. From projectile motion to optimization problems, being able to solve them quickly is an essential skill.

Enter the coefficients a, b, and c, and the solver displays the discriminant, both roots (real or complex), the vertex of the parabola, and the axis of symmetry.